1 citations · 1 across the 5 of their papers we have counts for
5 papers
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 …
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…
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…
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…
Characterizations of weighted Besov and Triebel-Lizorkin spaces with variable smoothness
Jae-Hwan Choi, Jin Bong Lee, Jinsol Seo +1
In this paper, we study different types of weighted Besov and Triebel-Lizorkin spaces with variable smoothness. The function spaces can be defined by means of the Littlewood-Paley…