Search for dissertations about: "free-boundary problems"
Showing result 1 - 5 of 22 swedish dissertations containing the words free-boundary problems.
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1. 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
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2. Two Problems in non-linear PDE’s with Phase Transitions
Abstract : This thesis is in the field of non-linear partial differential equations (PDE), focusing on problems which show some type of phase-transition. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. READ MORE
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3. Monotonicity formulas and applications in free boundary problems
Abstract : This thesis consists of three papers devoted to the study of monotonicity formulas and their applications in elliptic and parabolic free boundary problems. The first paper concerns an inhomogeneous parabolic problem. 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. Convex configurations in free boundary problems
Abstract : .... READ MORE