Maximal $L_p$-$L_q$ regularity for the Quasi-Steady Elliptic Problems
Analysis of PDEs
2020-03-20 v1
Abstract
In this paper we consider maximal regularity for the vector-valued quasi-steady linear elliptic problems. The equations are the elliptic equation in the domain and the evolution equations on its boundary. We prove the maximal - regularity for these problems and give examples that our results are applicable. The Lopatinskii--Shapiro and the asymptotic Lopatinskii--Shapiro conditions are important to get boundedness of solution operators.
Keywords
Cite
@article{arxiv.2003.08545,
title = {Maximal $L_p$-$L_q$ regularity for the Quasi-Steady Elliptic Problems},
author = {Ken Furukawa and Naoto Kajiwara},
journal= {arXiv preprint arXiv:2003.08545},
year = {2020}
}
Comments
16 pages