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.AP2025
A regularity theory for evolution equations with space-time anisotropic non-local operators in mixed-norm Sobolev spaces
Jae-Hwan Choi, Jaehoon Kang, Daehan Park +1
In this article, we study the regularity of solutions to inhomogeneous time-fractional evolution equations involving anisotropic non-local operators in mixed-norm Sobolev spaces of…