Jinsol Seo

most citedOn the trace theorem to Volterra-type equations with local or non-local derivatives

1 citations · 2 across the 3 of their papers we have counts for

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math.AP2025

A regularity theory for evolution equations with space-time anisotropic non-local operators in mixed-norm Sobolev spaces

Jae-Hwan Choi, Jaehoon Kang, Daehan Park +1

In this article, we study the regularity of solutions to inhomogeneous time-fractional evolution equations involving anisotropic non-local operators in mixed-norm Sobolev spaces of…

math.AP2023★ 1 cited

On the trace theorem to Volterra-type equations with local or non-local derivatives

Jae-Hwan Choi, Jin Bong Lee, Jinsol Seo +1

This paper considers traces at the initial time for solutions of evolution equations with local or non-local derivatives in vector-valued $L_{p}$ spaces with $A_{p}$ weight. To achieve…

math.AP2023

Sobolev space theory for Poisson's and the heat equations in non-smooth domains via superharmonic functions and Hardy's inequality

Jinsol Seo

We prove the unique solvability for the Poisson and heat equations in non-smooth domains $Ω \subset R^{d}$ in weighted Sobolev spaces. The zero Dirichlet boundary condition i…