approximation theory 1dimension-independent analysis 1fractional pdes 1neural network approximation 1spectral barron spaces 1
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math.AP2026
Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations
Jae-Hwan Choi, Hyojae Lim, Jinsol Seo +2
The paper develops a dimension‑efficient neural network approximation theory for solutions of fractional parabolic PDEs, introducing anisotropic spectral Barron spaces and proving…
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…