4 citations · 6 across the 11 of their papers we have counts for
11 papers
Instantaneous shrinking of supports for stochastic PDEs
Beom-Seok Han, Kunwoo Kim, Jaeyun Yi
We study instantaneous shrinking of supports for nonnegative solutions of the stochastic partial differential equation \[ \partial_t u=a(t,x)\,\partial_x^2 u + b(t,x)\,\partial_x u…
On the support of solutions to nonlinear stochastic heat equations
Beom-Seok Han, Kunwoo Kim, Jaeyun Yi
We investigate the strict positivity and the compact support property of solutions to the one-dimensional nonlinear stochastic heat equation: $$\partial_t u(t,x) = \frac{1}{2}\part…
Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions
Jae-Hwan Choi, Beom-Seok Han, Daehan Park
This article investigates the existence, uniqueness, and regularity of solutions to nonlinear stochastic reaction-diffusion-advection equations (SRDAEs) with spatially homogeneous…
-regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity
Beom-Seok Han, Jaeyun Yi
We study the existence, uniqueness, and regularity of the solution to the stochastic reaction-diffusion equation (SRDE) with colored noise : $$ \partial_t u = a^{ij}u_{x^i…
-solvability and Hölder regularity for stochastic time fractional Burgers' equations driven by multiplicative space-time white noise
Beom-Seok Han
We present the -solvability for stochastic time fractional Burgers' equations driven by multiplicative space-time white noise: $$ \partial_t^αu = a^{ij}u_{x^ix^j} + b^{i}u_{x^…
The compact support property for solutions to the stochastic partial differential equations with colored noise
Beom-Seok Han, Kunwoo Kim, Jaeyun Yi
We study the compact support property for solutions of the following stochastic partial differential equations: $$\partial_t u = a^{ij}u_{x^ix^j}(t,x)+b^{i}u_{x^i}(t,x)+cu+h(t,x,u(…