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arXiv · 1703.04907

A Boundary Estimate for Singular Parabolic Diffusion Equations

Ugo Gianazza·Naian Liao·Teemu Lukkari
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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. 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, Teemu Lukkari. 2017-03-15. A Boundary Estimate for Singular Parabolic Diffusion Equations. https://doi.org/10.1007/s00030-018-0523-9

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