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arXiv · 1807.06387

A Boundary Estimate for Degenerate Parabolic Diffusion 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 degenerate 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. 2018-07-17. A Boundary Estimate for Degenerate Parabolic Diffusion Equations. https://doi.org/10.1007/s11118-019-09794-8

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