Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data
Abstract
ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the 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.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Advanced Harmonic Analysis Research
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 13
- Pages
- 15316–15326
- Publication date
- 1 June 2026
- Language
- EN