Natural second-order regularity for parabolic systems with operators having (p,[delta])-structure and depending only on the symmetric gradient
Abstract: In this paper we consider parabolic problems with stress tensor depending only on the symmetric gradient. By developing a new approximation method (which allows to use energy-type methods typical for linear problems) we provide an approach to obtain global regularity results valid for general potential operators with (p,δ)-structure, for all p>1 and for all δ>0. In this way we prove “natural” second order spatial regularity—up to the boundary—in the case of homogeneous Dirichlet boundary conditions. The regularity results, are presented with full details for the parabolic setting in the case p>2. However, the same method also yields regularity in the elliptic case and for 1
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Anmerkungen
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Calculus of variations and partial differential equations. - 61, 4 (2022) , 137, ISSN: 1432-0835
- Ereignis
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Veröffentlichung
- (wo)
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Freiburg
- (wer)
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Universität
- (wann)
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2022
- Urheber
- DOI
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10.1007/s00526-022-02247-y
- URN
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urn:nbn:de:bsz:25-freidok-2284503
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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25.03.2025, 13:45 MEZ
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Beteiligte
- Berselli, Luigi C.
- Růžička, Michael
- Universität
Entstanden
- 2022
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