Evolution families and maximal regularity for systems of parabolic equations

Chiara Gallarati; Mark Veraar

Evolution families and maximal regularity for systems of parabolic equations

Chiara Gallarati, Mark Veraar

Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

11 Citations (Scopus)

Abstract

In this paper, we prove maximal L^p-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 L^q-spaces.

Original language	English
Pages (from-to)	169-190
Number of pages	22
Journal	Advances in Differential Equations
Volume	22
Issue number	3-4
Publication status	Published - 2017

Cite this

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title = "Evolution families and maximal regularity for systems of parabolic equations",

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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T1 - Evolution families and maximal regularity for systems of parabolic equations

AU - Gallarati, Chiara

AU - Veraar, Mark

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AB - 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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VL - 22

SP - 169

EP - 190

JO - Advances in Differential Equations

JF - Advances in Differential Equations

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ER -

Evolution families and maximal regularity for systems of parabolic equations

Abstract

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