On the Time Derivative in an Obstacle Problem

2010/05/12 by Peter Lindqvist, Lindqvist, Peter · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1005.2096

arxiv created 2010/05/12 · arxiv updated 2010/05/13

Abstract

I prove that the time derivative for the solution of the obstacle problem related to the Evolutionary p-Laplace Equation exists in Sobolev's sense, provided that the given obstacle is smooth enough. We keep p > 2.

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• Gradient regularity for strongly singular or degenerate elliptic and parabolic equations

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