Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222665 | Nonlinear Analysis: Theory, Methods & Applications | 2018 | 12 Pages |
Abstract
We show the global regularity of the nonhomogeneous parabolic p-Laplace equations on convex domains. Starting with the local up-to-boundary Lipschitz regularity for the homogeneous equation, we derive the global a priori estimates via Vitali covering coupling with p-harmonic approximation. Moreover, the exponents in the a priori estimates come from the intrinsic scaling.
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Authors
Huilian Jia, Lihe Wang,