Jinsol Seo

collaborators

3 papers

math.AP2025

Weighted Sobolev space theory for the heat equation and the time-fractional heat equation in non-smooth domains

Jinsol Seo

We present a general $L_{p}$ -solvability framework for both the classical and time-fractional heat equations in non-smooth domains under the zero Dirichlet boundary condition. We con…

math.AP2025

Weighted Sobolev space theory for Poisson's equation in non-smooth domains

Jinsol Seo

We introduce a general $L_{p}$ -solvability result for the Poisson equation in non-smooth domains $I^c ◯ \subset R^{d}$ , with the zero Dirichlet boundary condition. Our sole assump…

math.AP2025

Green's function estimates for time measurable parabolic operators on polyhedrons and polyhedral cones

Kyeong-Hun Kim, Kijung Lee, Jinsol Seo

We provide Green's function estimates for parabolic operators on polyhedrons and polyhedral cones in $R^{3}$ . These estimates incorporate mixed weights, which include approp…