| 概要 |
We study a local Hölder regularity of spatial gradient of solutions for nonlinear parabolic systems of p-Laplacian type with some external forces in the right-hand side. We extend and apply a method of regularity estimate to obtain a local gradient Hölder regularity of solutions, in the degenerate case p≥2 and singular case 2m/m+2<p<2. We also show an optimal integrability condition on given external forces for local gradient Hölder continuity. Actually, our regularity result recovers the classical one in the linear case p=2.
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