Jae-Hwan Choi

activity

20202026

L_{p}

-regularity theory for parabolic partial differential equations with time measurable pseudo-differential operators

2 citations · 3 across the 9 of their papers we have counts for

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math.PR2026

The stochastic Keller--Segel system in critical spaces

Jae-Hwan Choi, Ankit Kumar, Andrea Pitrone +2

We study stochastic, parabolic-parabolic Keller--Segel equations on the $d$ -dimensional torus in scaling critical Besov spaces, for $d \geq 3$ . Using stochastic maximal regularity…

math.PR2024

An existence and uniqueness theory to stochastic partial differential equations involving pseudo-differential operators driven by space-time white noise

Jae-Hwan Choi, Ildoo Kim

In this paper, we aim to develop a new weak formulation that ensures well-posedness for a broad range of stochastic partial differential equations with pseudo-differential operator…

math.PR2020

A regularity theory for stochastic partial differential equations with a super-linear diffusion coefficient and a spatially homogeneous colored noise

Jae-Hwan Choi, Beom-Seok Han

Existence, uniqueness, and regularity of a strong solution are obtained for stochastic PDEs with a colored noise $F$ and its super-linear diffusion coefficient: $$ du=(a^{ij}u_{x^i…