## Differential and Integral Equations

### Gradient Hölder regularity for nonlinear parabolic systems of $p$-Laplacian type

#### 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 $\frac{{2m}}{{m + 2}} < p < \infty$. We obtain an optimal like criterion to gradient Hölder continuity for the right-hand side terms.

#### Article information

Source
Differential Integral Equations, Volume 29, Number 3/4 (2016), 201-228.

Dates
First available in Project Euclid: 18 February 2016

Karim, Corina; Misawa, Masashi. Gradient Hölder regularity for nonlinear parabolic systems of $p$-Laplacian type. Differential Integral Equations 29 (2016), no. 3/4, 201--228. https://projecteuclid.org/euclid.die/1455806022