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math.AP2026
Fractional Parabolic Partial Differential Equations in Anisotropic Spectral Barron Spaces: Regularity and Neural Approximation
Jae-Hwan Choi, Hyojae Lim, Jinsol Seo +2
We study fractional parabolic initial-value problems with lower-order drift and potential terms in anisotropic spectral Barron spaces, defined by weighted space--time Fourier …
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 spaces with weight. To achieve…