Search for dissertations about: "dirichlet problem"
Showing result 1 - 5 of 46 swedish dissertations containing the words dirichlet problem.
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1. Dirichlet's problem in Pluripotential Theory
Abstract : In this thesis we focus on Dirichlet's problem for the complex Monge-Ampère equation. That is, for a given non-negative Radon measure µ we are interested in the conditions under which there exists a plurisubharmonic function u such that (ddcu)n=µ, where (ddc)n is the complex Monge-Ampère operator. READ MORE
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2. Some new results concerning general weighted regular Sturm-Liouville problems
Abstract : In this PhD thesis we study some weighted regular Sturm-Liouville problems in which the weight function takes on both positive and negative signs in an appropriate interval [a,b]. With such problems there is the possible existence of non-real eigenvalues, unlike in the definite case (i.e. READ MORE
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3. On parabolic equations of Kolmogorov-Fokker-Planck type
Abstract : In this thesis solutions to Kolmogorov-Fokker-Planck type equations are studied. It consists of a comprehensive summary and four scientific articles.In the first article a potential theory for certain strongly degenerate parabolic operators in unbounded domains of Lipschitz type is developed. READ MORE
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4. New weighted inequalities with applications to pseudodifferential operators
Abstract : This thesis is devoted to weighted integral inequalities and their applications to the study of boundary behavior of solutions to Dirichlet's problem for fractional powers of the Laplacian.We obtain a necessary and sufficient condition on μ for the operator (—Δ)μin R 0 , 0 ... READ MORE
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5. The complex Monge-Ampére operator on bounded hyperconvex domains
Abstract : .... READ MORE