Gradient Hölder regularity for nonlinear parabolic systems of p-laplacian type

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Corina Karim, Masashi Misawa

2016 Differential and Integral Equations Vol. 29 Issue 3-4 Article Cited by 10

Abstract

We study the Hölder regularity of the spatial gradient of solutions for nonlinear parabolic systems of p-Laplacian type in the degenerate and singular cases 2m/m+2 < p <∞ We obtain an optimal like criterion to gradient Hölder continuity for the right-hand side terms.

Affiliations

Department of Mathematics, Graduate School of Science and Technology, Kumamoto University, 2-39-1 Kurokami, Kumamoto-shi Kumamoto, 80-8555, Japan; Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Veteran-Malang, 65145, Indonesia