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math.PR2021
Interpolating the Stochastic Heat and Wave Equations with Time-independent Noise: Solvability and Exact Asymptotics
Le Chen, Nicholas Eisenberg
In this article, we study a class of stochastic partial differential equations with fractional differential operators subject to some time-independent multiplicative Gaussian noise…
math.PR2021
Hölder regularity of the nonlinear stochastic time-fractional slow and fast diffusion equations on
Le Chen, Guannan Hu
In this paper, we use local fraction derivative to show the Hölder continuity of the solution to the following nonlinear time-fractional slow and fast diffusion equation: $$\left(\…