20 research outputs found
A Boundary Estimate for Singular Parabolic Diffusion Equations
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
A Boundary Estimate for Degenerate Parabolic Diffusion Equations
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 -laplacian type. The estimate is given in terms of a Wiener-type
integral, defined by a proper elliptic -capacity.Comment: arXiv admin note: text overlap with arXiv:1703.0490
A Boundary Estimate for Singular Sub-Critical Parabolic Equations
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
-laplacian type, with in the sub-critical range .
The estimate is given in terms of a Wiener-type integral, defined by a proper
elliptic -capacity.Comment: arXiv admin note: text overlap with arXiv:1703.0490