A regularity theory for evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces
Analysis of PDEs
2024-12-17 v2
Abstract
This paper investigates the existence, uniqueness, and regularity of solutions to evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces. We also explore trace embedding and continuity of solutions.
Keywords
Cite
@article{arxiv.2402.03609,
title = {A regularity theory for evolution equations with time-measurable pseudo-differential operators in weighted mixed-norm Sobolev-Lipschitz spaces},
author = {Jae-Hwan Choi},
journal= {arXiv preprint arXiv:2402.03609},
year = {2024}
}
Comments
19 pages; The paper has been accepted for publication in "Potential Analysis"