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Visar resultat 1 - 5 av 46 avhandlingar som matchar ovanstående sökkriterier.
1. Dirichlet's problem in Pluripotential Theory
Sammanfattning : 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. LÄS MER
2. Some new results concerning general weighted regular Sturm-Liouville problems
Sammanfattning : 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. LÄS MER
3. On parabolic equations of Kolmogorov-Fokker-Planck type
Sammanfattning : 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. LÄS MER
4. New weighted inequalities with applications to pseudodifferential operators
Sammanfattning : 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 ... LÄS MER
5. The complex Monge-Ampére operator on bounded hyperconvex domains
Sammanfattning : .... LÄS MER