RESEARCH ARTICLE

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

  • Yiming JIANG 1 ,
  • Xu YANG2 , 2
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  • 1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
  • 2. School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China

Received date: 02 Jun 2020

Accepted date: 04 Nov 2020

Published date: 15 Apr 2021

Copyright

2021 Higher Education Press

Abstract

We establish a class of stochastic partial differential equations (SPDEs) driven by space-time fractional noises, where we suppose that the drfit 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.

Cite this article

Yiming JIANG , Xu YANG2 . Stochastic partial differential equations with gradient driven by space-time fractional noises[J]. Frontiers of Mathematics in China, 2021 , 16(2) : 479 -497 . DOI: 10.1007/s11464-021-0875-z

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