2 papers
math.PR2025
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…
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…