Journal
ADVANCES IN NONLINEAR ANALYSIS
Volume 8, Issue 1, Pages 845-867Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/anona-2016-0197
Keywords
Regularity; p-Laplacian; degenerate parabolic equations; singular parabolic equations
Categories
Funding
- Hong Kong RGC grant [ECS 26300716]
- NSF [DMS-1254332, DMS-1362525]
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We prove interior Holder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic equation u(t)= vertical bar del u vertical bar(k )div(vertical bar del u vertical bar(p-2)del u), where p epsilon (1, infinity) and kappa epsilon (1 - p, infinity). This includes the from L-infinity to C-1,C-alpha regularity for parabolic p-Laplacian equations in both divergence form with kappa = 0, and non-divergence form with kappa = 2 - p.
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