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Title of Journal: Potential Anal

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Abbravation: Potential Analysis

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Springer Netherlands

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10.1016/0032-3950(66)90021-9

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1572-929X

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Stability for Parabolic Quasiminimizers

Authors: Yohei Fujishima Jens Habermann Juha Kinnunen Mathias Masson
Publish Date: 2014/04/26
Volume: 41, Issue: 3, Pages: 983-1004
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Abstract

This paper studies parabolic quasiminimizers which are solutions to parabolic variational inequalities We show that under a suitable regularity condition on the boundary parabolic Qquasiminimizers related to the parabolic pLaplace equations with given boundary values are stable with respect to parameters Q and p The argument is based on variational techniques higher integrability results and regularity estimates in time This shows that stability does not only hold for parabolic partial differential equations but it also holds for variational inequalities


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