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Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth

We establish local Calderón–Zygmund estimates for solutions to certain parabolic problems with irregular obstacles and nonstandard p(x,t)${p(x,t)}$-growth. More precisely, we will show that the spatial gradient Du${Du}$ of the solution to the obstacle problem is as integrable as the obstacle ψ${\psi...

Ausführliche Beschreibung

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Bibliografische Detailangaben
1. Verfasser: Erhardt André
Format: Artigo
Sprache:Inglês
Veröffentlicht: De Gruyter 2014-02-01
Schriftenreihe:Advances in Nonlinear Analysis
Schlagworte:
Online-Zugang:https://doi.org/10.1515/anona-2013-0024
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