3 papers
math.AP2026
Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations
Jae-Hwan Choi, Hyojae Lim, Jinsol Seo +2
We establish a dimension-efficient neural network approximation theory for solutions to fractional parabolic equations with lower-order drift and potential terms. By introducing an…
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.CA2024
Maximal operators given by Fourier multipliers with dilation of fractional dimensions
Jin Bong Lee, Jinsol Seo
In this paper, we investigate bounds of maximal Fourier multiplier operators with dilation of fractional dimensions. For Fourier multipliers, we suggest a criterion related t…