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...

詳細記述

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書誌詳細
第一著者: Cioica, Petru A.
その他の著者: Dahlke, Stephan (Prof. Dr.) (論文の指導者)
フォーマット: Dissertation
言語:英語
出版事項: Philipps-Universität Marburg 2014
主題:
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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予約･返却請求
請求記号: urn:nbn:de:hebis:04-z2014-02237
出版日付: 2014-04-30
Datum der Annahme: 2014-02-17
Downloads: 69 (2024), 75 (2023), 94 (2022), 118 (2021), 176 (2020), 177 (2019), 145 (2018)
Lizenz: https://rightsstatements.org/vocab/InC-NC/1.0/
アクセスURL: https://archiv.ub.uni-marburg.de/diss/z2014/0223
https://doi.org/10.17192/z2014.0223

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