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 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021

A regularity theory for stochastic generalized Burgers' equation driven by a multiplicative space-time white noise

Beom-Seok Han

We introduce the uniqueness, existence, $L_{p}$ -regularity, and maximal Hölder regularity of the solution to semilinear stochastic partial differential equation driven by a multiplic…

math.PR2021

Lp-regularity theory for semilinear stochastic partial differential equations with multiplicative white noise

Beom-Seok Han

We establish the $L_{p}$ -regularity theory for a semilinear stochastic partial differential equation with multiplicative white noise: $$ du = (a^{ij}u_{x^ix^j} + b^{i}u_{x^i} + cu +…