Evolution families and maximal regularity for systems of parabolic equations
Journal Article
(2017)
Research Group
Analysis
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Publication Year
2017
Language
English
Research Group
Analysis
Issue number
3-4
Volume number
22
Pages (from-to)
169-190
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.
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