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math.AP2026
Well-Posedness for Cauchy Problems with Singular Time-Measurable Pseudo-Differential Operators in Quasi-decreasing Weighted -Spaces
Jae-Hwan Choi, Ildoo Kim
This study examines Cauchy problems governed by highly singular, time-measurable pseudo-differential operators (singular measurable families of Fourier multipliers). We show that t…
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 -dimensional torus in scaling critical Besov spaces, for . Using stochastic maximal regularity…