Evolution families and maximal regularity for systems of parabolic equations
Analysis of PDEs
2016-07-08 v2 Functional Analysis
Abstract
In this paper we prove maximal -regularity for a system of parabolic PDEs, where the elliptic operator has coefficients which depend on time in a measurable way and are continuous in the space variable. The proof is based on operator-theoretic methods and one of the main ingredients in the proof is the construction of an evolution family on weighted -spaces.
Keywords
Cite
@article{arxiv.1510.07643,
title = {Evolution families and maximal regularity for systems of parabolic equations},
author = {Chiara Gallarati and Mark Veraar},
journal= {arXiv preprint arXiv:1510.07643},
year = {2016}
}
Comments
Minor revision. Accepted for publication in Advances in Differential Equations