Jinsol Seo

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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…

math.AP2024

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.AP2024

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 $Ω \subset R^{d}$ , with the zero Dirichlet boundary condition. Our sole assumpt…