分野別セミナー

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.

リンク：開催場所へのアクセス
　　　　セミナーWebsite