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arXiv · 2003.05066

A Boundary Estimate for Singular Sub-Critical Parabolic Equations

Ugo Gianazza·Naian Liao
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Abstract

We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of $p$-laplacian type, with $p$ in the sub-critical range $(1,\frac{2N}{N+1}]$. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic $p$-capacity.

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Ugo Gianazza, Naian Liao. 2020-03-10. A Boundary Estimate for Singular Sub-Critical Parabolic Equations. https://arxiv.org/abs/2003.05066

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