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Title: [Dr. Jae-Hwan Choi, Research Fellow, School of Mathematics] Advances theory of nonlinear stochastic PDEs with nonlocal diffusion and spatially correlated noise

Date: 2026-04-22

This research presents a new analytical framework for nonlinear stochastic partial differential equations with nonlocal diffusion and spatially correlated noise. By introducing a new condition on the random noise correlation, it significantly enlarges the range of nonlinear phenomena that can be rigorously analyzed. The results provide existence, uniqueness, and regularity of solutions, advancing the mathematical theory of stochastic PDEs.

Journal	JOURNAL OF DIFFERENTIAL EQUATIONS
Publication Date	15 January, 2026
Article	Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions
Authors	Choi, Jae-Hwan; Han, Beom-Seok; Park, Daehan
DOI	https://doi.org/10.48550/arXiv.2405.11969
Link	https://www.sciencedirect.com/science/article/pii/S0022039625007880

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