Regularity of Supersolutions

Peter Lindqvist

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arXiv · 2502.14577

Regularity of Supersolutions

Peter Lindqvist

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Abstract

The regularity for the supersolutions of the Evolutionary p-Laplace Equation is considered. In particular,the equivalence of viscosity supersolutions and p-supercaloric functions (lower semicontinuous supersolutions defined via a comparison principle) is considered. Bounded viscosity supersolutions are, in fact, weak supersolutions belonging to a natural Sobolev Space.

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Peter Lindqvist. 2025-02-20. Regularity of Supersolutions. https://arxiv.org/abs/2502.14577

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