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Dissertations / Theses on the topic 'Second order elliptic equation'

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Published: 5 June 2025

Last updated: 2 August 2025

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1

MONTEIRO, GABRIEL DE LIMA. "WEAK SOLUTIONS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2018. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=36023@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>Esse trabalho tem como objetivo ser uma introdução ao estudo da existência e unicidade de soluções fracas para equações diferenciais parciais elípticas. Começamos definindo o espaço de Sobolev para, a partir da definição, provarmos algumas propriedades básicas que nos ajudarão no estudo das equações diferenciais parciais elípticas. Finalizamos com o desenvolvimento do Teorema de Lax-M

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2

Mavinga, Nsoki. "Nonlinear second order parabolic and elliptic equations with nonlinear boundary conditions." Birmingham, Ala. : University of Alabama at Birmingham, 2008. https://www.mhsl.uab.edu/dt/2009r/mavinga.pdf.

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Thesis (Ph. D.)--University of Alabama at Birmingham, 2008.<br>Title from PDF title page (viewed Sept. 23, 2009). Additional advisors: Inmaculada Aban, Alexander Frenkel, Wenzhang Huang, Yanni Zeng. Includes bibliographical references.

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3

Zhuang, Qiao. "Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/99040.

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This dissertation studies immersed finite elements (IFE) for a second order elliptic operator and their applications to interface problems of related partial differential equations. We start with the immersed finite element methods for the second order elliptic operator with a discontinuous coefficient associated with the elliptic interface problems. We introduce an energy norm stronger than the one used in [111]. Then we derive an estimate for the IFE interpolation error with this energy norm using patches of interface elements. We prove both the continuity and coercivity of the bilinear for

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4

Teka, Kubrom Hisho. "The obstacle problem for second order elliptic operators in nondivergence form." Diss., Kansas State University, 2012. http://hdl.handle.net/2097/14035.

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Doctor of Philosophy<br>Department of Mathematics<br>Ivan Blank<br>We study the obstacle problem with an elliptic operator in nondivergence form with principal coefficients in VMO. We develop all of the basic theory of existence, uniqueness, optimal regularity, and nondegeneracy of the solutions. These results, in turn, allow us to begin the study of the regularity of the free boundary, and we show existence of blowup limits, a basic measure stability result, and a measure-theoretic version of the Caffarelli alternative proven in Caffarelli's 1977 paper ``The regularity of free boundaries in

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Fontana, Eleonora. "Maximum Principle for Elliptic and Parabolic Equations." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/12061/.

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Nel primo capitolo si riporta il principio del massimo per operatori ellittici. Sarà considerato, in un primo momento, l'operatore di Laplace e, successivamente, gli operatori ellittici del secondo ordine, per i quali si dimostrerà anche il principio del massimo di Hopf. Nel secondo capitolo si affronta il principio del massimo per operatori parabolici e lo si utilizza per dimostrare l'unicità delle soluzioni di problemi ai valori al contorno.

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6

Pefferly, Robert J. "Finite difference approximations of second order quasi-linear elliptic and hyperbolic stochastic partial differential equations." Thesis, University of Edinburgh, 2001. http://hdl.handle.net/1842/11244.

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This thesis covers topics such as finite difference schemes, mean-square convergence, modelling, and numerical approximations of second order quasi-linear stochastic partial differential equations (SPDE) driven by white noise in less than three space dimensions. The motivation for discussing and expanding these topics lies in their implications in such physical phenomena as signal and information flow, gravitational and electromagnetic fields, large scale weather systems, and macro-computer networks. Chapter 2 delves into the hyperbolic SPDE in one space and one time dimension. This is an impo

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7

ABATANGELO, LAURA. "Multiplicity of solutions to elliptic equations the case of singular potentials in second order problems and morse theory in a fourth order problem." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2011. http://hdl.handle.net/10281/20336.

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Symmetry properties of solutions to some nonlinear Schroedinger equations are investigated. In particular, here the Laplace operator is perturbed by singular potentials which do not belong to the Kato class. A result of symmetry breaking of solutions is obtained provided a preliminary theorem about biradial solutions is stated. Further, a problem involving the biharmonic operator and exponential nonlinearity in dimension 4 is studied, connecting degree counting formulas with direct methods of calculus of variations via Morse theory and deformation lemmas.

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8

Shlapunov, Alexander, and Nikolai Tarkhanov. "Sturm-Liouville problems in domains with non-smooth edges." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6733/.

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We consider a (generally, non-coercive) mixed boundary value problem in a bounded domain for a second order elliptic differential operator A. The differential operator is assumed to be of divergent form and the boundary operator B is of Robin type. The boundary is assumed to be a Lipschitz surface. Besides, we distinguish a closed subset of the boundary and control the growth of solutions near this set. We prove that the pair (A,B) induces a Fredholm operator L in suitable weighted spaces of Sobolev type, the weight function being a power of the distance to the singular set. Moreover, we prove

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9

Maad, Sara. "Critical point theory with applications to semilinear problems without compactness." Doctoral thesis, Uppsala : Matematiska institutionen, Univ. [distributör], 2002. http://publications.uu.se/theses/91-506-1557-2/.

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10

Li, Boning. "Extending the scaled boundary finite-element method to wave diffraction problems." University of Western Australia. School of Civil and Resource Engineering, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0173.

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[Truncated abstract] The study reported in this thesis extends the scaled boundary finite-element method to firstorder and second-order wave diffraction problems. The scaled boundary finite-element method is a newly developed semi-analytical technique to solve systems of partial differential equations. It works by employing a special local coordinate system, called scaled boundary coordinate system, to define the computational field, and then weakening the partial differential equation in the circumferential direction with the standard finite elements whilst keeping the equation strong in the

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11

Forcillo, Nicolò. "Free Boundary Regularity of Some Non-Homogeneous Problems." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16392/.

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In this work, we deal with the study of some free boundary problems governed by non-homogeneous equations. In particular, we are interested in the regularity of the free boundaries for solutions of one-phase problems associated with non-divergence elliptic operators with variable coefficients.

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12

Silva, Esteban Pereira da. "Equações Elípticas com não Linearidade Singular que Modelam MEMSs Eletrostáticos." Universidade Federal da Paraíba, 2010. http://tede.biblioteca.ufpb.br:8080/handle/tede/7399.

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Made available in DSpace on 2015-05-15T11:46:10Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 517535 bytes, checksum: 44009b0bc09a5af772f82b9303aa5e7b (MD5) Previous issue date: 2010-11-19<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>Here we study a class of semilinear elliptic equations with nonlinearity of an inverse square type. This equations arise, in applications, on the modeling of certain electrostatic devices from microtechnology, MEMS - Micro Electro Mechanical Systems. More precisely, these equations characterizes the function that represents the

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13

Cowan, Craig. "Regularity in second and fourth order nonlinear elliptic problems." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/27776.

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This thesis consists of six research papers.In ``Regularity of the extremal solution in a MEMS model with advection,'' we examine the equation given by $ -\Delta u + c(x) \cdot \nabla u = \lambda f(u) $ in $ \Omega$ with Dirichlet boundary conditions and where $ f(u) = (1-u)^{-2}$ or $ f(u) =e^u$. Our main result is that the associated extremal solution is smooth provided this is the case for the advection free case; $c(x)=0$. In ``Estimates on pull-in distances in MEMS models and other nonlinear eigenvalue problems'' we prove some results, which were observed numerically, regard

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14

Us, Oleksiy. "On the qualitative theory of second order elliptic operators." Thesis, University of Bristol, 2001. http://hdl.handle.net/1983/da98356b-08c1-4377-a57b-3abd0b62ed5a.

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15

Dobrev, Veselin Asenov. "Preconditioning of discontinuous Galerkin methods for second order elliptic problems." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-2531.

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16

Mason, Colin Stuart. "Boundary perturbations and ultracontractivity of singular second order elliptic operators." Thesis, King's College London (University of London), 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395943.

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17

Yang, Xue. "Neumann problems for second order elliptic operators with singular coefficients." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/neumann-problems-for-second-order-elliptic-operators-with-singular-coefficients(2e65b780-df58-4429-89df-6d87777843c8).html.

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In this thesis, we prove the existence and uniqueness of the solution to a Neumann boundary problem for an elliptic differential operator with singular coefficients, and reveal the relationship between the solution to the partial differential equation (PDE in abbreviation) and the solution to a kind of backward stochastic differential equations (BSDE in abbreviation).This study is motivated by the research on the Dirichlet problem for an elliptic operator (\cite{Z}). But it turns out that different methods are needed to deal with the reflecting diffusion on a bounded domain. For example, the i

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18

Shimizu, Daisuke. "FEM analysis for second order elliptic initial value problems with regularization." 京都大学 (Kyoto University), 2007. http://hdl.handle.net/2433/135966.

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19

Ben, Romdhane Mohamed. "Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/39258.

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A wide range of applications involve interface problems. In most of the cases, mathematical modeling of these interface problems leads to partial differential equations with non-smooth or discontinuous inputs and solutions, especially across material interfaces. Different numerical methods have been developed to solve these kinds of problems and handle the non-smooth behavior of the input data and/or the solution across the interface. The main focus of our work is the immersed finite element method to obtain optimal numerical solutions for interface problems. In this thesis, we present piecew

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20

Feleqi, Ermal. "Spectral stability estimates for the eigenfunctions of second order elliptic operators." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3421876.

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The thesis deals with a new direction in the spectral stability problem of elliptic operators, namely to find estimates for the variation of eigenfunctions due to domain perturbation. Unlike the problem of the variation of the eigenvalues, this problem had practically never been investigated previously. The approach developed in the thesis is based on the concept of "gap'' between linear operators. This concept, which measures the proximity of two unbounded linear operators, extends to the case of operators defined on different domains. Thereafter, there are obtained estimates of the gap

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21

Kutahyalioglu, Aysen. "Oscillation Of Second Order Dynamic Equations On Time Scales." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605380/index.pdf.

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During the last decade, the use of time scales as a means of unifying and extending results about various types of dynamic equations has proven to be both prolific and fruitful. Many classical results from the theories of differential and difference equations have time scale analogues. In this thesis we derive new oscillation criteria for second order dynamic equations on time scales.

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22

Selcuk, Aysun. "Oscillation Of Second Order Matrix Equations On Time Scales." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605606/index.pdf.

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The theory of time scales is introduced by Stefan Hilger in his PhD thesis in 1998 in order to unify continuous and discrete analysis. In our thesis, by making use of the time scale calculus we study the oscillation of nonlinear matrix differential equations of second order. the first chapter is introductory in nature and contains some basic definitions and tools of the time scales calculus, while certain well-known results have been presented with regard to oscillation of the solutions of second order matrix equations and some new oscillation criteria for the same type equations have been est

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23

Chibi, Ahmed-Salah. "Defect correction and Galerkin's method for second-order elliptic boundary value problems." Thesis, Imperial College London, 1989. http://hdl.handle.net/10044/1/47378.

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24

Davis, Benjamin J. "A study into discontinuous Galerkin methods for the second order wave equation." Thesis, Monterey, California: Naval Postgraduate School, 2015. http://hdl.handle.net/10945/45836.

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Approved for public release; distribution is unlimited<br>There are numerous numerical methods for solving different types of partial differential equations (PDEs) that describe the physical dynamics of the world. For instance, PDEs are used to understand fluid flow for aerodynamics, wave dynamics for seismic exploration, and orbital mechanics. The goal of these numerical methods is to approximate the solution to a continuous PDE with an accurate discrete representation. The focus of this thesis is to explore a new Discontinuous Galerkin (DG) method for approximating the second order wave equa

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25

Dunn, Kyle George. "An Integral Equation Method for Solving Second-Order Viscoelastic Cell Motility Models." Digital WPI, 2014. https://digitalcommons.wpi.edu/etd-theses/578.

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For years, researchers have studied the movement of cells and mathematicians have attempted to model the movement of the cell using various methods. This work is an extension of the work done by Zheltukhin and Lui (2011), Mathematical Biosciences 229:30-40, who simulated the stress and displacement of a one-dimensional cell using a model based on viscoelastic theory. The report is divided into three main parts. The first part considers viscoelastic models with a first-order constitutive equation and uses the standard linear model as an example. The second part extends the results of the first

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26

ROMANI, GIULIO. "Positivity and qualitative properties of solutions of fourth-order elliptic equations." Doctoral thesis, Università degli Studi di Milano, 2017. http://hdl.handle.net/2434/525734.

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This thesis concerns the study of fourth-order elliptic boundary value problems and, in particular, qualitative properties of solutions. Such problems arise in various fields, from plate theory to conformal geometry and, compared to their second-order counterparts, they present intrinsic difficulties, mainly due to the lack of the maximum principle. In the first part of the thesis, we study the positivity of solutions in case of Steklov boundary conditions, which are intermediate between Dirichlet and Navier boundary conditions. They naturally appear in the study of the minimizers of the Ki

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27

Sobol, Zeev. "Some problems on the semigroups associated with second order elliptic expressions with singular real measurable coefficients." Thesis, University of Bristol, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340358.

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28

Auffredic, Jérémy. "A second order Runge–Kutta method for the Gatheral model." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-49170.

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In this thesis, our research focus on a weak second order stochastic Runge–Kutta method applied to a system of stochastic differential equations known as the Gatheral Model. We approximate numerical solutions to this system and investigate the rate of convergence of our method. Both call and put options are priced using Monte-Carlo simulation to investigate the order of convergence. The numerical results show that our method is consistent with the theoretical order of convergence of the Monte-Carlo simulation. However, in terms of the Runge-Kutta method, we cannot accept the consistency of our

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29

Cisternino, Marco. "A parallel second order Cartesian method for elliptic interface problems and its application to tumor growth model." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2012. http://tel.archives-ouvertes.fr/tel-00690743.

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Cette thèse porte sur une méthode cartésienne parallèle pour résoudre des problèmes elliptiques avec interfaces complexes et sur son application aux problèmes elliptiques en domaine irrégulier dans le cadre d'un modèle de croissance tumorale. La méthode est basée sur un schéma aux différences fi nies et sa précision est d'ordre deux sur tout le domaine. L'originalité de la méthode consiste en l'utilisation d'inconnues additionnelles situées sur l'interface et qui permettent d'exprimer les conditions de transmission à l'interface. La méthode est décrite et les détails sur la parallélisation, ré

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CISTERNINO, MARCO. "A parallel second order Cartesian method for elliptic interface problems and its application to tumor growth model." Doctoral thesis, Politecnico di Torino, 2012. http://hdl.handle.net/11583/2497156.

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This theses deals with a parallel Cartesian method to solve elliptic problems with complex interfaces and its application to elliptic irregular domain problems in the framework of a tumor growth model. This method is based on a finite differences scheme and is second order accurate in the whole domain. The originality of the method lies in the use of additional unknowns located on the interface, allowing to express the interface transmission conditions. The method is described and the details of its parallelization, performed with the PETSc library, are provided. Numerical validations of the m

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31

Welch, James. "Isogeometric analysis for second-order forms of the neutron transport equation with applications to reactor physics." Thesis, Imperial College London, 2017. http://hdl.handle.net/10044/1/58858.

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Development of computational methods to solve reactor physics and shielding problems has been a constant area of research since the 1940s and the Manhattan project. As technology and improved methods have been developed more detailed simulations have been possible. However, solving the neutron transport equation for full-core heterogeneous problems is still a challenging proposition, even for modern numerical methods and petaflop high performance computers. The high dimensionality of the physical problem combined with the complex geometries of reactor cores and their shields has meant that app

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32

Noubiagain, Chomchie Fanny Larissa. "Contributions to second order reflected backward stochastic differentials equations." Thesis, Le Mans, 2017. http://www.theses.fr/2017LEMA1016/document.

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Cette thèse traite des équations différentielles stochastiques rétrogrades réfléchies du second ordre dans une filtration générale . Nous avons traité tout d'abord la réflexion à une barrière inférieure puis nous avons étendu le résultat dans le cas d'une barrière supérieure. Notre contribution consiste à démontrer l'existence et l'unicité de la solution de ces équations dans le cadre d'une filtration générale sous des hypothèses faibles. Nous remplaçons la régularité uniforme par la régularité de type Borel. Le principe de programmation dynamique pour le problème de contrôle stochastique robu

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33

Sternberg, Julia. "Memory efficient approaches of second order for optimal control problems." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2005. http://nbn-resolving.de/urn:nbn:de:swb:14-1135250699292-11488.

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Consider a time-dependent optimal control problem, where the state evolution is described by an initial value problem. There are a variety of numerical methods to solve these problems. The so-called indirect approach is considered detailed in this thesis. The indirect methods solve decoupled boundary value problems resulting from the necessary conditions for the optimal control problem. The so-called Pantoja method describes a computationally efficient stage-wise construction of the Newton direction for the discrete-time optimal control problem. There are many relationships between multiple sh

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34

Kang, In Gu. "Empirical testing of a human performance model| Understanding success in federal agencies using second-order structural equation modeling." Thesis, Indiana University, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=3715873.

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<p>Even though various models have been developed in the field of human performance technology (HPT), little research has been done to empirically test these models of human performance (HP) with large amounts of data. This insufficient evidence on whether or not HP models work in practice discourages HPT professionals and workers from applying HP models into their own contexts. This study aims to examine structural relationships among performance support systems (PSS), human behaviors (HB), and performance (PER) in order to test the proposed performance model. Using national government-wide r

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35

Saccoletto, Marta. "La metrica di Agmon ed il decadimento esponenziale delle soluzioni di equazioni alle derivate parziali." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/11437/.

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The aim of this master thesis is to study the exponential decay of solutions of elliptic partial equations. This work is based on the results obtained by Agmon. To this purpose, first, we define the Agmon metric, that plays an important role in the study of exponential decay, because it is related to the rate of decay. Under some assumptions on the growth of the function and on the positivity of the quadratic form associated to the operator, a first result of exponential decay is presented. This result is then applied to show the exponential decay of eigenfunctions with eigenvalues w

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36

Marino, Greta. "A-priori estimates for some classes of elliptic problems." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4116.

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L'obiettivo di questa tesi è di studiare alcuni aspetti di un potente strumento ampiamente utilizzato in analisi matematica, che è rappresentato dalle stime a priori. Infatti, le stime a priori hanno un ruolo chiave nella teoria delle equazioni differenziali a derivate parziali e nel calcolo delle variazioni, perché sono intimamente legate all'esistenza di soluzione per un dato problema. Nella tesi vengono presentati tre lavori scritti durante il periodo del dottorato, in ciascuno dei quali vengono utilizzate le stime a priori. Il primo lavoro, scritto in collaborazione con il Prof. S. Moscon

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Jaiani, George V. "Bending of an orthotropic cusped plate." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2535/.

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The bending of an orthotropic cusped plate in energetic and weighted Sobolev spaces has been considered. The existence and uniqueness of generalized and weak solutions of admissible boundary value problems (BVPs) have been investigated.

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Enniss, Harris. "A Refined Saddle Point Theorem and Applications." Scholarship @ Claremont, 2012. https://scholarship.claremont.edu/hmc_theses/33.

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Under adequate conditions on $g$, we show the density in $L^2((0,\pi),(0,2\pi))$ of the set of functions $p$ for which \begin{equation*} u_{tt}(x,t)-u_{xx}(x,t)= g(u(x,t)) + p(x,t) \end{equation*} has a weak solution subject to \begin{equation*} \begin{aligned} u(x,t)&=u(x,t+2\pi)\\ u(0,t)&=u(\pi,t)=0. \end{aligned} \end{equation*} To achieve this, we prove a Saddle Point Principle by means of a refined variant of the deformation lemma of Rabinowitz. Generally, inf-sup techniques allow the characterization of critical values by taking the minimum of the maximae on some particular class of se

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Daukšaitė, Viktorija. "Kraštinio uždavinio antros eilės diferencialinei lygčiai sprendinių struktūros tyrimas." Bachelor's thesis, Lithuanian Academic Libraries Network (LABT), 2012. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2012~D_20120629_122946-60721.

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Baigiamajame darbe išnagrinėta antros eilės paprastoji diferencialinė lygtis. Tam panaudojant faktorizacijos metodą. Taip pat sukonstruota sprendinių struktūra. Gautus sprendinius apibendrina suformuotos teoremos.<br>In this work, we study the ordinary differential equation of the second – order. Using the factorization method. We constructed the structure of solutions. At the result summarize the theorems.

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40

Bukotin, Denys. "Nelineární diferenciální rovnice a Karamatova teorie." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417073.

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Cílem této diplomové práce je sjednotit a zobecnit známé výsledky z literatury, studovat asymptotické chování kladných regulárně se měnících řešení jisté třídy nelineárních diferenciálních rovnic (tzv. skoro pololineárních diferenciálních rovnic) pomocí dostupných nástrojů. Tato práce zahrnuje popis teorie regulární variace, některé informace o nelineárních diferenciálních rovnicích různých typů, detailní odvození výsledků týkajících se asymptotického chování řešení a příklady aplikace získaných výsledků.

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41

Stahlhut, Sebastian. "Problèmes aux limites pour les systèmes elliptiques." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112186.

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Dans cette thèse, nous étudions des problèmes aux limites pour les systèmes elliptiques sous forme divergence avec coefficients complexes dans L^{infty}. Nous prouvons des estimations a priori, discutons de la solvabilité et d'extrapolation de la solvabilité. Nous utilisons une transformation via des équations Cauchy-Riemann généralisées due à P. Auscher, A. Axelsson et A. McIntosh. On peut résoudre les équations Cauchy-Riemann généralisées via la semi-groupe engendré par un opérateur différentiel perturbé d'ordre un de type Dirac. A l'aide du semi-groupe, nous étudions la théorie L^{p} avec u

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Chen, Nan. "External and Internal Determinants Contributing to Event Participation and Destination Revisitation: A Sport Tourism Perspective." Thesis, Griffith University, 2012. http://hdl.handle.net/10072/367326.

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Sport tourism is one of the fastest growing sectors in the tourism industry and is gaining burgeoning research interest from academia. However, there are limited studies combining sport and tourism research to understand sport tourists’ attitudes and decision-making related to an event-host destination. This PhD research addresses this gap by examining the formation and change of sport tourists’ destination attitudes in order to understand why sport tourists travel to a specific place to attend sport events and why they decide to return to this destination in the future as leisure vacationers.

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Hejazi, Hala Ahmad. "Finite volume methods for simulating anomalous transport." Thesis, Queensland University of Technology, 2015. https://eprints.qut.edu.au/81751/1/Hala%20Ahmad_Hejazi_Thesis.pdf.

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In this thesis a new approach for solving a certain class of anomalous diffusion equations was developed. The theory and algorithms arising from this work will pave the way for more efficient and more accurate solutions of these equations, with applications to science, health and industry. The method of finite volumes was applied to discretise the spatial derivatives, and this was shown to outperform existing methods in several key respects. The stability and convergence of the new method were rigorously established.

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Mazumdar, Saikat. "Équations polyharmoniques sur les variétés et études asymptotiques dans une équation de Hardy-Sobolev." Thesis, Université de Lorraine, 2016. http://www.theses.fr/2016LORR0047/document.

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Ce mémoire est divisé en deux parties : Partie 1 : Nous obtenons des résultats d'existence pour des problèmes au limite mettant en jeu des opérateurs polyharmoniques conformément invariants. Nous nous plaçons indifféremment dans le cas d'une variété riemannienne avec ou sans bord. En particulier, nous montrons que la meilleure constante de Sobolev sur les variétés est exactement la constante euclidienne. En conséquence, nous montrons l'existence d'une solution d'énergie minimale lorsque la fonctionnelle descend en-dessous d'un seuil quantifié. Puis nous montrons l'existence de solutions de hau

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Mazumdar, Saikat. "Équations polyharmoniques sur les variétés et études asymptotiques dans une équation de Hardy-Sobolev." Electronic Thesis or Diss., Université de Lorraine, 2016. http://www.theses.fr/2016LORR0047.

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Ce mémoire est divisé en deux parties : Partie 1 : Nous obtenons des résultats d'existence pour des problèmes au limite mettant en jeu des opérateurs polyharmoniques conformément invariants. Nous nous plaçons indifféremment dans le cas d'une variété riemannienne avec ou sans bord. En particulier, nous montrons que la meilleure constante de Sobolev sur les variétés est exactement la constante euclidienne. En conséquence, nous montrons l'existence d'une solution d'énergie minimale lorsque la fonctionnelle descend en-dessous d'un seuil quantifié. Puis nous montrons l'existence de solutions de hau

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46

Debroux, Noémie. "Mathematical modelling of image processing problems : theoretical studies and applications to joint registration and segmentation." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMIR02/document.

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Dans cette thèse, nous nous proposons d'étudier et de traiter conjointement plusieurs problèmes phares en traitement d'images incluant le recalage d'images qui vise à apparier deux images via une transformation, la segmentation d'images dont le but est de délimiter les contours des objets présents au sein d'une image, et la décomposition d'images intimement liée au débruitage, partitionnant une image en une version plus régulière de celle-ci et sa partie complémentaire oscillante appelée texture, par des approches variationnelles locales et non locales. Les relations étroites existant entre ce

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Hsuanyang, Liu, and 劉烜揚. "Second-order Elliptic and Parabolic Equations." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/07030725105847552594.

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碩士<br>國立中正大學<br>應用數學研究所<br>100<br>The goal of this paper is to introduce and to give a first study of the weak solutions of Second-order Elliptic and Parabolic Equations of partial differential equations. We forsake the search for explicit formulas and instead rely on functional analysis and relatively simple "energy estimates" to prove the existence of weak solutions to the main problems, the boundary-value problem in chapter 1, and the initial/boundary-value problem in chapter 2.

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48

"Concentration phenomena for some second order elliptic problems." Thesis, 2008. http://library.cuhk.edu.hk/record=b6074536.

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Firstly, we consider the following critical elliptic Neumann problem --Deltau + muu = uN+2N-2 , u > 0 in O; 6u6n = 0 on ∂O, where O is a smooth bounded domain in RN , N ≥ 7, mu is a large positive number and nu denotes exterior unit normal vector. We show that at a positive nondegenerate local minimum point Q0 of the mean curvature function, for any fixed integer K ≥ 2, there exists a mu K > 0 such that for mu > muK, the above problem has K -- bubble solution umu concentrating at the same point Q 0. Precisely, we show that umu has K local maximum points Qm1,...,Qm K &isin

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WU, SHUI-LI, and 吳水利. "On nonexistence of second order elliptic partial differentail equations." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/40356838383802418336.

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Lo, Yu-sung. "Nonlinear second order elliptic equations with Venttsel boundary conditions." Phd thesis, 1989. http://hdl.handle.net/1885/136653.

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This thesis is concerned with second order elliptic equations with cenain second order boundary conditions which are called Venttsel boundary conditions. This sort of boundary condition originally came from probability theory. An example of such a boundary value problem of PDE also arises from a model in three dimensional water wave theory. Venttsel boundary conditions contain Dirichlet, Neumann, oblique and mixed boundary conditions as special cases, and from the probability point of view they are the most general admissible boundary conditions for second order elliptic operators.

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