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Dissertations / Theses on the topic 'Neumann problems'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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1

Michetti, Marco. "Steklov and Neumann eigenvalues : inequalities, asymptotic and mixed problems." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0109.

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Cette thèse est consacrée à l'étude des valeurs propres de Neumann, des valeurs propres de Steklov et des relations entre elles. La motivation initiale de cette thèse était de prouver que, dans le plan, le produit entre le périmètre et la première valeur propre de Steklov est toujours inférieur au produit entre l'aire et la première valeur propre de Neumann. Motivés par la recherche de contre-exemples à cette inégalité, nous donnons, dans la première partie de cette thèse, une description complète du comportement asymptotique des valeurs propres de Steklov dans un domaine en haltère constitué

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2

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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3

Kulkarni, Mandar S. "Multi-coefficient Dirichlet Neumann type elliptic inverse problems with application to reflection seismology." Birmingham, Ala. : University of Alabama at Birmingham, 2009. https://www.mhsl.uab.edu/dt/2010r/kulkarni.pdf.

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Thesis (Ph. D.)--University of Alabama at Birmingham, 2009.<br>Title from PDF t.p. (viewed July 21, 2010). Additional advisors: Thomas Jannett, Tsun-Zee Mai, S. S. Ravindran, Günter Stolz, Gilbert Weinstein. Includes bibliographical references (p. 59-64).

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4

Pomponio, Alessio. "Singularity perturbed elliptic problems." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4172.

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5

Karimianpour, Camelia. "The Stone-von Neumann Construction in Branching Rules and Minimal Degree Problems." Thesis, Université d'Ottawa / University of Ottawa, 2016. http://hdl.handle.net/10393/34240.

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In Part I, we investigate the principal series representations of the n-fold covering groups of the special linear group over a p-adic field. Such representations are constructed via the Stone-von Neumann theorem. We have three interrelated results. We first compute the K-types of these representations. We then give a complete set of reducibility points for the unramified principal series representations. Among these are the unitary unramified principal series representations, for which we further investigate the distribution of the K-types among its irreducible components. In Part II, we

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6

Guo, Sheng. "On Neumann Problems for Fully Nonlinear Elliptic and Parabolic Equations on Manifolds." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1571696906482925.

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7

PERROTTA, Antea. "Differential Formulation coupled to the Dirichlet-to-Neumann operator for scattering problems." Doctoral thesis, Università degli studi di Cassino, 2020. http://hdl.handle.net/11580/75845.

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This Thesis proposes the use of the Dirichlet-to-Neumann (DtN) operator to improve the accuracy and the efficiency of the numerical solution of an electromagnetic scattering problem, described in terms of a differential formulation. From a general perspective, the DtN operator provides the “connection” (the mapping) between the Dirichlet and the Neumann data onto a proper closed surface. This allows truncation of the computational domain when treating a scattering problem in an unbounded media. Moreover, the DtN operator provides an exact boundary condition, in contrast to other methods such a

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8

Alcántara, Bode Julio, and J. Yngvason. "Algebraic quantum field theory and noncommutative moment problems I." Pontificia Universidad Católica del Perú, 2013. http://repositorio.pucp.edu.pe/index/handle/123456789/96072.

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9

Alsaedy, Ammar, and Nikolai Tarkhanov. "Normally solvable nonlinear boundary value problems." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6507/.

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We study a boundary value problem for an overdetermined elliptic system of nonlinear first order differential equations with linear boundary operators. Such a problem is solvable for a small set of data, and so we pass to its variational formulation which consists in minimising the discrepancy. The Euler-Lagrange equations for the variational problem are far-reaching analogues of the classical Laplace equation. Within the framework of Euler-Lagrange equations we specify an operator on the boundary whose zero set consists precisely of those boundary data for which the initial problem is solvabl

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10

Orey, Maria de Serpa Salema Reis de. "Factorization of elliptic boundary value problems by invariant embedding and application to overdetermined problems." Doctoral thesis, Faculdade de Ciências e Tecnologia, 2011. http://hdl.handle.net/10362/8677.

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Dissertação para obtenção do Grau de Doutor em Matemática<br>The purpose of this thesis is the factorization of elliptic boundary value problems defined in cylindrical domains, in a system of decoupled first order initial value problems. We begin with the Poisson equation with mixed boundary conditions, and use the method of invariant embedding: we embed our initial problem in a family of similar problems, defined in sub-domains of the initial domain, with a moving boundary, and an additional condition in the moving boundary. This factorization is inspired by the technique of invariant tempor

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11

Boller, Stefan. "Spectral Theory of Modular Operators for von Neumann Algebras and Related Inverse Problems." Doctoral thesis, Universitätsbibliothek Leipzig, 2004. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-37397.

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In dieser Arbeit werden die Modularobjekte zu zyklischen und separierenden Vektoren für von-Neumann-Algebren untersucht. Besondere Beachtung erfahren dabei die Modularoperatoren und deren Spektraleigenschaften. Diese Eigenschaften werden genutzt, um Klassifikationen für Lösungen einiger inverser Probleme der Modulartheorie anzugeben. Im ersten Teil der Arbeit wird zunächst der Zusammenhang zwischen dem zyklischen und separierenden Vektor und seinen Modularobjekten mit Hilfe (verallgemeinerter) Spurvektoren für halbendliche und Typ $III_{\lambda}$ Algebren ($0<\lambda<1$) näher untersucht

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12

Ponsiglione, Marcello. "Stability of Neumann problems and applications to the variational theory of crack propagation." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4175.

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13

Hänel, André [Verfasser]. "Singular Problems in Quantum and Elastic Waveguides via Dirichlet-to-Neumann Analysis / André Hänel." Aachen : Shaker, 2015. http://d-nb.info/1080762264/34.

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14

Ackermann, Nils. "Lokalisierung der niederenergetischen Lösungen eines singulär gestörten elliptischen Neumann-Problems mittels der Geometrie des Gebietsrandes." [S.l. : s.n.], 1999. http://deposit.ddb.de/cgi-bin/dokserv?idn=958029016.

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15

Zeng, Kai. "Some problems in harmonic analysis on twsited crossed products." Electronic Thesis or Diss., Bourgogne Franche-Comté, 2023. http://www.theses.fr/2023UBFCD048.

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Cette thèse a pour but d’étudier quelques problèmes dans l'analyse harmonique sur les produits croisés tordus qui sont définis par des actions tordues d'un groupe localement compact G sur une algèbre de von Neumann M. Elle se compose de deux parties. La première porte sur les produits croisés tordus et leurs multiplicateurs de Fourier et de Schur. Nous démontrons que la propriété d’être QWEP pour l’algèbre de von Neumann tordue d’un groupe G est indépendante du 2-cocycle sous-ajacent et que les Lp-multiplicateurs de Fourier complètement bornés sur cette algèbre tordue sont aussi indépendants d

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16

Verfasser], Afzal, and Günter [Akademischer Betreuer] [Neumann. "Re-plant problems in long-term no-tillage cropping systems : causal analysis and mitigation strategies / Afzal ; Betreuer: Günter Neumann." Hohenheim : Kommunikations-, Informations- und Medienzentrum der Universität Hohenheim, 2017. http://d-nb.info/1142977625/34.

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17

Alves, Michele de Oliveira. "Um problema de extensão relacionado a raiz quadrada do Laplaciano com condição de fronteira de Neumann." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-19012011-231320/.

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Neste trabalho definimos o operador não local, raiz quadrada do Laplaciano com condição de fronteira de Neumann, através do método de extensão harmônica. O estudo foi feito com o auxílio das séries de Fourier em domínios limitados, como sendo o intervalo, o quadrado e a bola. Posteriormente, aplicamos nosso estudo, à problemas elípticos não lineares envolvendo o operador não local raiz quadrada do Laplaciano com condição de fronteira de Neumann.<br>In this work we define the non-local operator, square root of the Laplacian with Neumann boundary condition, using the method of harmonic extension

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18

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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19

Coco, Armando. "Finite-Difference Ghost-Cell Multigrid Methods for Elliptic problems with Mixed Boundary Conditions and Discontinuous Coefficients." Doctoral thesis, Università di Catania, 2012. http://hdl.handle.net/10761/1107.

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The work of this thesis is devoted to the development of an original and general numerical method for solving the elliptic equation in an arbitrary domain (described by a level-set function) with general boundary conditions (Dirichlet, Neumann, Robin, ...) using Cartesian grids. It can be then considered an immersed boundary method, and the scheme we use is based on a finite-difference ghost-cell technique. The entire problem is solved by an effective multigrid solver, whose components have been suitably constructed in order to be applied to the scheme. The method is extended to the more chal

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20

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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21

Cekić, Mihajlo. "The Calderón problem for connections." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267829.

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This thesis is concerned with the inverse problem of determining a unitary connection $A$ on a Hermitian vector bundle $E$ of rank $m$ over a compact Riemannian manifold $(M, g)$ from the Dirichlet-to-Neumann (DN) map $\Lambda_A$ of the associated connection Laplacian $d_A^*d_A$. The connection is to be determined up to a unitary gauge equivalence equal to the identity at the boundary. In our first approach to the problem, we restrict our attention to conformally transversally anisotropic (cylindrical) manifolds $M \Subset \mathbb{R}\times M_0$. Our strategy can be described as follows: we con

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22

Pfefferer, Johannes [Verfasser], Thomas [Akademischer Betreuer] Apel, and Arnd [Akademischer Betreuer] Rösch. "Numerical analysis for elliptic Neumann boundary control problems on polygonal domains / Johannes Pfefferer. Universität der Bundeswehr München, Fakultät für Bauingenieurwesen und Umweltwissenschaften. Gutachter: Thomas Apel ; Arnd Rösch. Betreuer: Thomas Apel." Neubiberg : Universitätsbibliothek der Universität der Bundeswehr München, 2014. http://d-nb.info/1054706824/34.

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23

Herbig, Anne-Katrin. "A sufficient condition for subellipticity of the d-bar-Neumann problem." Connect to this title online, 2004. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1090531326.

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Thesis (Ph. D.)--Ohio State University, 2004.<br>Title from first page of PDF file. Document formatted into pages; contains vi, 55 p. : ill. Advisor: McNeal, J.D., Dept. of Mathematics. Includes bibliographical references (p. 54-55).

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24

Winkler, Max [Verfasser], Thomas [Akademischer Betreuer] Apel, Olaf [Akademischer Betreuer] Steinbach, and Roland [Akademischer Betreuer] Herzog. "Finite Element Error Analysis for Neumann Boundary Control Problems on Polygonal and Polyhedral Domains / Max Winkler. Universität der Bundeswehr München, Fakultät für Bauingenieurwesen und Umweltwissenschaften. Betreuer: Thomas Apel. Gutachter: Thomas Apel ; Olaf Steinbach ; Roland Herzog." Neubiberg : Universitätsbibliothek der Universität der Bundeswehr München, 2015. http://d-nb.info/1077773129/34.

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25

QUESNE, CAROLE. "Probleme d'ecran avec donnees de neumann singulieres." Nantes, 1996. http://www.theses.fr/1995NANT2091.

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S'etant une surface a bord, on s'interesse aux solutions d'une equation de poisson-helmholtz dans le complementaire de s, et verifiant des conditions de neumann sur chaque face de l'ecran s et une condition de radiation a l'infini. On etudie le cas ou le second membre f de l'equation de poisson-helmholtz est dans un espace a poids a l'infini et ou les donnees de neumann peuvent etre singulieres (masse de dirac par exemple). On donne un resultat d'existence et d'unicite pour les solutions u qui sont d'energie finie pres du bord de l'ecran. L'unicite est obtenue de facon classique par la conditi

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26

Alsaedy, Ammar, and Nikolai Tarkhanov. "Spectral projection for the dbar-Neumann problem." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/5861/.

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27

Baydoun, Ibrahim. "Transport laplacien, problème inverse et opérateurs de Dirichlet-Neumann." Thesis, Aix-Marseille 2, 2011. http://www.theses.fr/2011AIX22094.

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Le travail de ma thèse est basé sur ces 4 points :i) Transport laplacien d'une cellule absorbante :Soit un certain espèce (cellule) de concentration C(x), qui diffuse dans un milieu homogène et isotrope à partir d'une lointaine source localisée sur la frontière fermée $partial Omega_{0}$ vers une interface compact semi-perméable $partial Omega$ (membrane de la "cellule") à laquelle elle disparaisse àun taux d'absorption donné : W>=0. La concentration C (transport laplacien avec un coefficient de diffusion D) satisfaite le problème (P1) (voir la thèse). On s'intéresse à résoudre le problème

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28

Neves, Sérgio Leandro Nascimento 1984. "Sobre o número de soluções de um problema de Neumann com perturbação singular." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305907.

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Orientadores: Marcelo da Silva Montenegro, Massimo Grossi<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-20T13:53:15Z (GMT). No. of bitstreams: 1 Neves_SergioLeandroNascimento_D.pdf: 694748 bytes, checksum: 52d4109b562640e98c9a0a6098d9cb46 (MD5) Previous issue date: 2012<br>Resumo: Neste trabalho, consideramos uma classe de problemas de Neumann com perturbação singular e fazemos um estudo do número de soluções do tipo "single peak" que se concentram em um mesmo ponto. Estudamos casos

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29

Godoi, Juliano Damião Bittencourt de. "Problemas de autovalores de Steklov-Neumann e aplicações." Universidade Federal de São Carlos, 2012. https://repositorio.ufscar.br/handle/ufscar/5827.

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Made available in DSpace on 2016-06-02T20:27:39Z (GMT). No. of bitstreams: 1 4436.pdf: 2380554 bytes, checksum: 7ecdc328d92836b2191a9ceda0444683 (MD5) Previous issue date: 2012-03-26<br>Universidade Federal de Sao Carlos<br>In this work we will obtain four main results of existence of weak solution, three of them to elliptic partial di_erential systems with nonlinear boundary conditions and the other to elliptic partial di_erential equations with nonlinear boundary conditions associated with operator p-laplacian. These results will be obtained when there is a kind of interaction among the re

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30

Сирєєва, В. А. "Розв'язок задачі Неймана для однозв'язної області". Thesis, Сумський державний університет, 2013. http://essuir.sumdu.edu.ua/handle/123456789/40946.

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Задачею Неймана називають задачу про знаходження гармонічної функції в заданій області, якщо відома її поведінка на нескінченності та значення нормальної похідної на границі. До задач Неймана зводяться задачі фізики, механіки суцільного середовища та ін.

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31

Zanger, Daniel Zvi. "Regularity and boundary variations for the Neumann problem." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/43460.

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32

Sahutoglu, Sonmez. "Compactness of the dbar-Neumann problem and Stein neighborhood bases." Texas A&M University, 2003. http://hdl.handle.net/1969.1/3879.

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This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifold M of dimension at least k in the boundary of a smooth bounded pseudoconvex domain in Cn is an obstruction to compactness of the @- Neumann operator on (p, q)-forms for 0 p k n, provided that at some point of M, the Levi form of b has the maximal possible rank n − 1 − dim(M) (i.e. the boundary is strictly pseudoconvex in the directions transverse to M). In particular, an analytic disc is an obstruction to compactness of the @-Neumann operator on (p, 1)-forms, provided that at

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33

Raynor, Sarah Groff 1977. "Regularity of Neumann solutions to an elliptic free boundary problem." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29353.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.<br>Includes bibliographical references (p. 57-58).<br>We examine the regularity properties of solutions to an elliptic free boundary problem, near a Neumann fixed boundary. Consider a nonnegative function u which minimizes the functional ... on a bounded, convex domain ... This function u is harmonic in its positive phase and satisfies ... along the free boundary ... , in a weak sense. We prove various basic properties of such a minimizer near the portion of the boundary ... on which ... weakly. These results i

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34

Pinton, Stefano. "Regularity of the dbar-Neumann problem and the Green operator." Doctoral thesis, Università degli studi di Padova, 2012. http://hdl.handle.net/11577/3426289.

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This thesis deals with the regularity of the dibar-Neumann problem and the tangential Cauchy-Riemann system. Chapter 1 deals with compactness estimates. We prove that they hold when "(CR P-property)" is satisfied. The approach consists of a tangential basic estimate in the formulation given by Khanh in his thesis which refines former work by Nicoara. Chapter 2 discusses regularity of the dibar-Neumann problem. The first approach to regularity in geometric terms has been done by Boas Straube through the method of the "good vector field" T or "good defining function" r. On the one hand, this

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35

Zaveri, Sona. "The second eigenfunction of the Neumann Laplacian on thin regions /." Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/5748.

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Strauss, Albrecht. "Integralformeln und a priori-Abschätzungen für das [delta bar]-Neumann-Problem." Bonn : [s.n.], 1988. http://catalog.hathitrust.org/api/volumes/oclc/18440543.html.

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37

Bouhsiss, Fouzia. "Quelques résultats d'unicité pour des problèmes elliptiques et paraboliques." Besançon, 2001. http://www.theses.fr/2001BESA2048.

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Wanderley, Gabriela Albuquerque. "Capillary Problem and Mean Curvature Flow of Killing Graphs." Universidade Federal da Paraíba, 2013. http://tede.biblioteca.ufpb.br:8080/handle/tede/7418.

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Made available in DSpace on 2015-05-15T11:46:15Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 577287 bytes, checksum: 05b66c45fbee6c87496fa2601f5736ea (MD5) Previous issue date: 2013-05-13<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>We study two types of Neumann problem related to Capillary problem and to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. In particular, we prove the existence of Killing graphs with prescribed mean curvature and prescribed boundary conditions.<br>Estudamos dois tipos

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Almeida, Samuel Oliveira de. "Soluções para problemas elípticos envolvendo o expoente crítico de Sobolev." Universidade Federal de Juiz de Fora, 2013. https://repositorio.ufjf.br/jspui/handle/ufjf/1468.

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Kim, Mijoung. "The d-bar-Neumann operator and the Kobayashi metric." Texas A&M University, 2003. http://hdl.handle.net/1969/94.

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41

Tran, Vu Khanh. "A general method of weights in the d-bar-Neumann problem." Doctoral thesis, Università degli studi di Padova, 2010. http://hdl.handle.net/11577/3426529.

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This thesis works in partial differential equations and several complex variables that concentrates on a general estimate for $\bar\partial$-Neumann problem on domain which is $q$-pseudoconvex or $q$-pseudoconcave at the boundary point. Generalization of the Property ($P$) in [C84], we define the Property $(f\T-\M\T-P)^k$ at the boundary point. The Property $(f\T-\M\T-P)^k$ is a sufficient condition to get following estimate {(f\T-\M)^k} \qquad \no{f(\Lambda)\mathcal M u}^2\le c(\no{\bar\partial u}^2+\no{\bar\partial^*u}^2+\no{u}^2)+C_\M\no{u}^2_{-1} for any $u\in C^\infty_c(U\cap \b

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42

Schreffler, Morgan F. "Approximation of Solutions to the Mixed Dirichlet-Neumann Boundary Value Problem on Lipschitz Domains." UKnowledge, 2017. http://uknowledge.uky.edu/math_etds/47.

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We show that solutions to the mixed problem on a Lipschitz domain Ω can be approximated in the Sobolev space H1(Ω) by solutions to a family of related mixed Dirichlet-Robin boundary value problems which converge in H1(Ω), and we give a rate of convergence. Further, we propose a method of solving the related problem using layer potentials.

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LIMA, Natan de Assis. "Análise funcional não-linear aplicada ao estudo de problemas elípticos não-locais." Universidade Federal de Campina Grande, 2010. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1225.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-24T14:12:47Z No. of bitstreams: 1 NATAN DE ASSIS LIMA - DISSERTAÇÃO PPGMAT 2010..pdf: 614405 bytes, checksum: d19b00bf4d0fb78e21179e363cfc96f8 (MD5)<br>Made available in DSpace on 2018-07-24T14:12:47Z (GMT). No. of bitstreams: 1 NATAN DE ASSIS LIMA - DISSERTAÇÃO PPGMAT 2010..pdf: 614405 bytes, checksum: d19b00bf4d0fb78e21179e363cfc96f8 (MD5) Previous issue date: 2010-03<br>CNPq<br>Neste trabalho usaremos algumas técnicas da Análise Funcional Não-Linear para estudar a existência de solução para os chamados Problemas Elípti

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44

Hladky, Robert K. "Boundary regularity of the Neumann problem for the Kohn Laplacian on the Heisenberg group /." Thesis, Connect to this title online; UW restricted, 2004. http://hdl.handle.net/1773/5811.

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45

Houot, Jean Gabriel Tucsnak Marius. "Analyse mathématique des mouvements des rigides dans un fluide parfait." S. l. : S. n, 2008. http://www.scd.uhp-nancy.fr/docnum/SCD_T_2008_0146_HOUOT.pdf.

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46

Grando, Thiago. "Existência de soluções para uma classe de problemas com condição de Neumann." reponame:Repositório Institucional da UFABC, 2011.

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47

Román, Parra Carlos Patricio. "Large conformal metrics with prescribed sign-changing Gauss curvature and a critical Neumann problem." Tesis, Universidad de Chile, 2014. http://www.repositorio.uchile.cl/handle/2250/116845.

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Ingeniero Civil Matemático<br>En esta memoria se estudian dos problemas semilineales elípticos clásicos en la literatura: el problema de la curvatura Gaussiana prescrita en dimensión 2, y el problema de Lin-Ni-Takagi con exponente crítico en dimensión 3. En ambos se encuentran soluciones con reviente cuando el valor de un parámetro involucrado se aproxima a cierto valor crítico. En el primer capítulo se estudia el siguiente problema: Dada una función escalar $\kappa(x)$, suficientemente regular, definida en una variedad Riemanniana compacta $(M,g)$ de dimensión 2, se desea saber si $\kappa$

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48

Malavazi, Mazílio Coronel 1983. "Problemas elípticos do tipo côncavo-convexo com crescimento crítico e condição de Neumann." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307128.

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Orientador: Francisco Odair Vieira de Paiva<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-21T19:28:36Z (GMT). No. of bitstreams: 1 Malavazi_MazilioCoronel_D.pdf: 1741221 bytes, checksum: becbc428943851a9a63bba6d406db3ca (MD5) Previous issue date: 2013<br>Resumo: O resumo poderá ser visualizado no texto completo da tese digital<br>Abstract: The abstract is available with the full electronic document<br>Doutorado<br>Matematica<br>Doutor em Matemática

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49

Varchon, Nicolas. "Perturbation de domaine dans les E. D. P." Besançon, 2001. http://www.theses.fr/2001BESA2040.

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Le thème principal de ce travail est la stabilité des solutions d'équations aux dérivées partielles elliptiques ou paraboliques lorsque le paramètre de perturbation est le domaine sur lequel est définie l'équation. Nous souhaitons être en mesure de traîter des situations où les ouverts sont irréguliers, avec des coupures ou des bords de mesure positive. Dans une première partie, nous étudions la stabilité des solutions variationnelles d'une équation ellip- tique du second ordre avec des conditions de bord de type Neumann homogène. Le résultat principal est obtenu sur les familles d'ouverts du

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50

Pillay, Samara. "The narrow escape problem : a matched asymptotic expansion approach." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/1428.

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We consider the motion of a Brownian particle trapped in an arbitrary bounded two or three-dimensional domain, whose boundary is reflecting except for a small absorbing window through which the particle can escape. We use the method of matched asymptotic expansions to calculate the mean first passage time, defined as the time taken for the Brownian particle to escape from the domain through the absorbing window. This is known as the narrow escape problem. Since the mean escape time diverges as the window shrinks, the calculation is a singular perturbation problem. We extend our results to

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