Remarks on the maximal regularity for parabolic boundary value problems with inhomogeneous data
Analysis of PDEs
2026-02-03 v2
Abstract
Inspired by Ogawa-Shimizu [JEE 2022] and Chen-Liang-Tsai [IMRN 2025] on the second and first order derivative estimates of solution of heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Keywords
Cite
@article{arxiv.2511.01230,
title = {Remarks on the maximal regularity for parabolic boundary value problems with inhomogeneous data},
author = {Hui Chen and Su Liang and Tai-Peng Tsai},
journal= {arXiv preprint arXiv:2511.01230},
year = {2026}
}