Dissertations / Theses on the topic 'Nonlocal second order operators'
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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.
Full textBrabazon, Keeran J. "Multigrid methods for nonlinear second order partial differential operators." Thesis, University of Leeds, 2014. http://etheses.whiterose.ac.uk/8481/.
Full textNoble, Raymond Keith. "Some problems associated with linear differential operators." Thesis, Cardiff University, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.238160.
Full textMason, 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.
Full textYang, 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.
Full textShimoda, Taishi. "Hypoellipticity of second order differential operators with sign-changing principal symbols /." Sendai : Tohoku Univ, 2000. http://www.loc.gov/catdir/toc/fy0713/2007329003.html.
Full textTeka, Kubrom Hisho. "The obstacle problem for second order elliptic operators in nondivergence form." Diss., Kansas State University, 2012. http://hdl.handle.net/2097/14035.
Full textDepartment of Mathematics
Ivan Blank
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 higher dimensions." Finally, we show that blowup limits are in general not unique at free boundary points.
Kim, Nanhee. "Carleman estimates for the general second order operators and applications to inverse problems." Diss., Wichita State University, 2010. http://hdl.handle.net/10057/3652.
Full textThesis (Ph.D.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statistics
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.
Full textIn this thesis, we study and jointly address several important image processing problems including registration that aims at aligning images through a deformation, image segmentation whose goal consists in finding the edges delineating the objects inside an image, and image decomposition closely related to image denoising, and attempting to partition an image into a smoother version of it named cartoon and its complementary oscillatory part called texture, with both local and nonlocal variational approaches. The first proposed model addresses the topology-preserving segmentation-guided registration problem in a variational framework. A second joint segmentation and registration model is introduced, theoretically and numerically studied, then tested on various numerical simulations. The last model presented in this work tries to answer a more specific need expressed by the CEREMA (Centre of analysis and expertise on risks, environment, mobility and planning), namely automatic crack recovery detection on bituminous surface images. Due to the image complexity, a joint fine structure decomposition and segmentation model is proposed to deal with this problem. It is then theoretically and numerically justified and validated on the provided images
Calvo, D., and Bert-Wolfgang Schulze. "Edge symbolic structures of second generation." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2994/.
Full textPester, Cornelia. "A posteriori error estimation for non-linear eigenvalue problems for differential operators of second order with focus on 3D vertex singularities." Doctoral thesis, Berlin Logos-Verl, 2006. http://deposit.ddb.de/cgi-bin/dokserv?id=2806614&prov=M&dok_var=1&dok_ext=htm.
Full textPester, Cornelia. "A posteriori error estimation for non-linear eigenvalue problems for differential operators of second order with focus on 3D vertex singularities." Doctoral thesis, Logos Verlag Berlin, 2005. https://monarch.qucosa.de/id/qucosa%3A18520.
Full textNguyen, Thi Tuyen. "Comportement en temps long des solutions de quelques équations de Hamilton-Jacobi du premier et second ordre, locales et non-locales, dans des cas non-périodiques." Thesis, Rennes 1, 2016. http://www.theses.fr/2016REN1S089/document.
Full textThe main aim of this thesis is to study large time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN in presence of an Ornstein-Uhlenbeck drift. We also consider the same issue for a first order Hamilton-Jacobi equation. In the first case, which is the core of the thesis, we generalize the results obtained by Fujita, Ishii and Loreti (2006) in several directions. The first one is to consider more general operators. We first replace the Laplacian by a general diffusion matrix and then consider a non-local integro-differential operator of fractional Laplacian type. The second kind of extension is to deal with more general Hamiltonians which are merely sublinear
Edelstein, R. M. "A classification of second order equations via nonlocal transformations." Thesis, 2000. http://hdl.handle.net/10413/3694.
Full textThesis (M.Sc.)-University of Natal, Durban, 2000.
Boshego, Norman. "Spectral analysis of self-adjoint second order differential operators." Thesis, 2015. http://hdl.handle.net/10539/18592.
Full textThe primary purpose of this study is to investigate the asymptotic distribution of the eigenvalues of self-adjoint second order di erential operators. We rst analyse the problem where the functions g and h are equal to zero. To improve on the terms of the eigenvalue problem for g; h = 0, we consider the eigenvalue problem for general functions g and h. Here we calculate explicitly the rst four terms of the eigenvalue asymptotics problem.
"On the Spectrum of a Class of Second Order Periodic Elliptic Differential Operators." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1037.ps.
Full textShen, Lin-hong, and 沈林弘. "Homogenization of some special degenerate second order linear elliptic operators and its numerical computation." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/09316679482569904004.
Full text國立清華大學
數學系
103
Abstract Homogenization of some special degenerate second order linear elliptic operators and its numerical computation Lin-Hong Shen, Avisor:Assistant Professor Chia-Chieh Chu Department of Mathematics National Tsing Hua University, Hsin-Chu City,Taiwan In many area, homogenization is an alternative way to find out the asymptotic behaviour of partial differential equation. This arti- cle is about homogenization process of degenerate second order linear elliptic operators. In this article, we give both theoretical and com- putational analysis to the asymptotic behaviour of the solution of the equation. −div(a( x )Duh) = f on Ω , uh |∂Ω= 0 on ∂Ω , when Eh tends to zero, where aij (x) is Y -periodic, nonnegative defi- nite for almost every x in domain Ω and vanishes at some points in Ω. We find out that the homogenization process of degenerate ellip- tic equation in rectangle domain is still available for some particular coefficient functions with its inverse is integrable Key words: homogenization, degenerate elliptic equation, asymp- totic behaviour, numerical analysis
Pester, Cornelia [Verfasser]. "A posteriori error estimation for non-linear eigenvalue problems for differential operators of second order with focus on 3D vertex singularities / vorgelegt von Cornelia Pester." 2006. http://d-nb.info/980933056/34.
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