Frontiers of Mathematics in China >
Stochastic partial differential equations with gradient driven by space-time fractional noises
Received date: 02 Jun 2020
Accepted date: 04 Nov 2020
Published date: 15 Apr 2021
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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.
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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