Besov regularity of stochastic partial differential equations on bounded Lipschitz domains

Besov regularity of stochastic partial differential equations on bounded Lipschitz domains

This thesis is concerned with the regularity of (semi-)linear second order parabolic stochastic partial differential equations (SPDEs, for short) of Itô type on bounded Lipschitz domains. The so-called adaptivity scale of Besov spaces is used to measure the regularity of the solution with respect to...

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Bibliographic Details
Main Author: Cioica, Petru A.
Contributors: Dahlke, Stephan (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2014
Subjects:
regularity theory
stochastische Wärmeleitungsgleichung
Stochastische partielle Differentialgleichung
quasi-Banach space
adaptive Wavelet-Methode
Besov-Raum
Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
adaptive wavelet method
Partial differential equations with randomness
Mathematik
Wavelet
Regularitätstheorie
Quasi-Banachraum
Stochastic partial differential equations
stochastic heat equation
Gewichteter Sobolev-Raum
Nichtlineare Approximation
Mathematics
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