B. Han

activity

20192026

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 11 of their papers we have counts for

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Showing 2023 · math.PRShow all

2 papers · 2 filters

math.PR2023

$L_{p}$ -regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

Beom-Seok Han, Jaeyun Yi

We study the existence, uniqueness, and regularity of the solution to the stochastic reaction-diffusion equation (SRDE) with colored noise $F ˙$ : $$ \partial_t u = a^{ij}u_{x^i…

math.PR2023

$L_{p}$ -solvability and Hölder regularity for stochastic time fractional Burgers' equations driven by multiplicative space-time white noise

Beom-Seok Han

We present the $L_{p}$ -solvability for stochastic time fractional Burgers' equations driven by multiplicative space-time white noise: $$ \partial_t^αu = a^{ij}u_{x^ix^j} + b^{i}u_{x^…

Lp​-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

Lp​-solvability and Hölder regularity for stochastic time fractional Burgers' equations driven by multiplicative space-time white noise

$L_{p}$ -regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity

$L_{p}$ -solvability and Hölder regularity for stochastic time fractional Burgers' equations driven by multiplicative space-time white noise