Search for dissertations about: "boundary regularity"
Showing result 1 - 5 of 39 swedish dissertations containing the words boundary regularity.
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1. Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables
Abstract : This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary behaviour of functions related to parabolic partial differential equations and several complex variables.Paper I concerns solutions to non-linear parabolic equations of linear growth. READ MORE
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2. Boundary Behavior of p-Laplace Type Equations
Abstract : This thesis consists of six scientific papers, an introduction and a summary. All six papers concern the boundary behavior of non-negative solutions to partial differential equations.Paper I concerns solutions to certain p-Laplace type operators with variable coefficients. READ MORE
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3. Numerical Analysis of Evolution Problems in Multiphysics
Abstract : In this thesis we study numerical methods for evolution problems in multiphysics. The term multiphysics is commonly used to describe physical phenomena that involve several interacting models. Typically, such problems result in coupled systems of partial differential equations. READ MORE
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4. Regularity results in free boundary problems
Abstract : This thesis consists of three scientific papers, devoted to the regu-larity theory of free boundary problems. We use iteration arguments to derive the optimal regularity in the optimal switching problem, and to analyse the regularity of the free boundary in the biharmonic obstacle problem and in the double obstacle problem. READ MORE
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5. Non-linear Free Boundary Problems
Abstract : This thesis consists of an introduction and four research papers related to free boundary problems and systems of fully non-linear elliptic equations.Paper A and Paper B prove optimal regularity of solutions to general elliptic and parabolic free boundary problems, where the operators are fully non-linear and convex. READ MORE