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20192026
most citedBoundary behavior and interior Hölder regularity of solution to nonlinear stochastic partial differential equations driven by space-time white noise

4 citations · 6 across the 11 of their papers we have counts for

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Showing 2024 · math.PRShow all

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math.PR2024

On the support of solutions to nonlinear stochastic heat equations

Beom-Seok Han, Kunwoo Kim, Jaeyun Yi

We investigate the strict positivity and the compact support property of solutions to the one-dimensional nonlinear stochastic heat equation: $$\partial_t u(t,x) = \frac{1}{2}\part…

math.PR2024

Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions

Jae-Hwan Choi, Beom-Seok Han, Daehan Park

This article investigates the existence, uniqueness, and regularity of solutions to nonlinear stochastic reaction-diffusion-advection equations (SRDAEs) with spatially homogeneous…