Stochastic partial differential equations with gradient driven by space-time fractional noises

被引：0

作者：

Yiming Jiang

Xu Yang

机构：

[1] Nankai University,School of Mathematical Sciences and LPMC

[2] North Minzu University,School of Mathematics and Information Science

来源：

Frontiers of Mathematics in China | 2021年 / 16卷

关键词：

Stochastic partial differential equation (SPDE); fractional noise; uniqueness; strong solution; Hölder continuity; 60H15; 35D35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish a class of stochastic partial differential equations (SPDEs) driven by space-time fractional noises, where we suppose that the drift term contains a gradient and satisfies certain non-Lipschitz condition. We prove the strong existence and uniqueness and joint Hölder continuity of the solution to the SPDEs.

引用

页码：479 / 497

页数：18

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