Gradient Holder regularity for parabolic normalized p(x, t)-Laplace equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:295

Article

Fang, Yuzhou¹  Zhang, Chao^1,2 

[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China

关键词: Regularity;    Parabolic normalized p(x, t)-Laplacian;    Stochastic differential game;    Viscosity solution;   

DOI  :  10.1016/j.jde.2021.05.062

来源: Elsevier

【 摘 要 】

We consider the interior Holder regularity of spatial gradient of viscosity solution to the parabolic normalized p(x, t)-Laplace equation u(t) = (delta(ij) + (p(x, t) - 2) u(i)u(j)/vertical bar Du vertical bar(2))u(ij) with some suitable assumptions on p(x, t), which arises naturally from a two-player zero-sum stochastic differential game with probabilities depending on space and time. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free