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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...

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Bibliografische gegevens
Hoofdauteur: Erhardt André
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: De Gruyter 2014-02-01
Reeks:Advances in Nonlinear Analysis
Onderwerpen:
Online toegang:https://doi.org/10.1515/anona-2013-0024
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