B. Han

most citedBoundary behavior and interior Hölder regularity of solution to nonlinear stochastic partial differential equations driven by space-time white noise

4 citations · 6 across the 2 of their papers we have counts for

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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…

math.PR2019★ 4 cited

Boundary behavior and interior Hölder regularity of solution to nonlinear stochastic partial differential equations driven by space-time white noise

Beom-seok Han, Kyeong-hun Kim

We present uniqueness and existence in weighted Sobolev spaces of the equation $u_{t} = (a u_{xx} + b u_{x} + c u) + ξ ∣ u ∣^{1 + λ} B ˙, t > 0, x \in (0, 1)$ with initial data $u(…