Evolution families and maximal regularity for systems of parabolic equations

Journal article (2017)

Authors

C. Gallarati Analysis - EEMCS
M.C. Veraar Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
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Published Date

2017

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

In this paper, we prove maximal Lp-regularity for a system of parabolic PDEs, where the elliptic operator A 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 Lq-spaces.