2 papers
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 and its super-linear diffusion coefficient: $$ du=(a^{ij}u_{x^i…