Besov regularity of stochastic partial differential equations on bounded Lipschitz domains

Cioica, Petru A.

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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Bibliografiske detaljer
Hovedforfatter:	Cioica, Petru A.
Andre forfattere:	Dahlke, Stephan (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format:	Dissertation
Sprog:	engelsk
Udgivet:	Philipps-Universität Marburg 2014
Fag:	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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Besov regularity of stochastic partial differential equations on bounded Lipschitz domains

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