Local regularity for quasi-linear parabolic equations in non-divergence form (1809.03241v1)

Published 10 Sep 2018 in math.AP

Abstract: We consider viscosity solutions to non-homogeneous degenerate and singular parabolic equations of the $p$-Laplacian type and in non-divergence form. We provide local H\"older and Lipschitz estimates for the solutions. In the degenerate case, we prove the H\"older regularity of the gradient. Our study is based on a combination of the method of alternatives and the improvement of flatness estimates.

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Authors (1)

Amal Attouchi

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