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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.… Click to show full 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 Holder continuity of the solution to the SPDEs.
Keywords:
stochastic partial;
partial differential;
differential equations;
space time;
time fractional;
driven space
Journal Title: Frontiers of Mathematics in China
Year Published: 2021
Link to full text (if available)
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Journal Title: Frontiers of Mathematics in China
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!