A Boundary Estimate for Degenerate Parabolic Diffusion Equations

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.

arXiv admin note: text overlap with arXiv:1703.04907