Search for dissertations about: "Dirichlet form"
Showing result 1 - 5 of 13 swedish dissertations containing the words Dirichlet form.
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1. Boundary Value Problems for Nonlinear Elliptic Equations in Divergence Form
Abstract : The thesis consists of three papers focussing on the study of nonlinear elliptic partial differential equations in a nonempty open subset Ω of the n-dimensional Euclidean space Rn. We study the existence and uniqueness of the solutions, as well as their behaviour near the boundary of Ω. READ MORE
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2. Articles on Potential Theory, Functional Analysis and Hankel Forms
Abstract : Paper I: Perfekt, K.-M. and Putinar, M., Spectral bounds for the Neumann-Poincaré operator on planar domains with corners, to appear in J. READ MORE
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3. 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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4. A class of infinite dimensional stochastic processes with unbounded diffusion
Abstract : The aim of this work is to provide an introduction into the theory of infinite dimensional stochastic processes. The thesis contains the paper A class of infinite dimensional stochastic processes with unbounded diffusion written at Linköping University during 2012. READ MORE
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5. A class of infinite dimensional stochastic processes with unbounded diffusion and its associated Dirichlet forms
Abstract : This thesis consists of two papers which focuses on a particular diffusion type Dirichlet form where Here is the basis in the Cameron-Martin space, H, consisting of the Schauder functions, and ν denotes the Wiener measure.In Paper I, we let vary over the space of wiener trajectories in a way that the diffusion operator A is almost everywhere an unbounded operator on the Cameron–Martin space. READ MORE