Maximal lp-regularity for second order non-autonomous evolution equations in umd banach spaces and application

Yakov Yakubov

Maximal lp-regularity for second order non-autonomous evolution equations in umd banach spaces and application

Yakov Yakubov

School of Mathematical Sciences

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We prove well-posedness, in particular, maximal Lp-regularity for the Cauchy problem for second order abstract parabolic equations in UMD Banach spaces. Equations are non-autonomous and perturbed. Then we give application of the obtained abstract result to parabolic PDEs of second order (in the time variable) with bounded operator-valued coeffcients. This case includes, in particular, equations and a system of equations with scalar coeffcients.

Original language	English
Title of host publication	Handbook of Evolution Equations
Publisher	Nova Science Publishers, Inc.
Pages	239-253
Number of pages	15
ISBN (Print)	9781616684297
State	Published - 2012

Keywords

Lp-maximal regularity
Non-autonomous
Parabolic equations
Second order cauchy problem

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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AB - We prove well-posedness, in particular, maximal Lp-regularity for the Cauchy problem for second order abstract parabolic equations in UMD Banach spaces. Equations are non-autonomous and perturbed. Then we give application of the obtained abstract result to parabolic PDEs of second order (in the time variable) with bounded operator-valued coeffcients. This case includes, in particular, equations and a system of equations with scalar coeffcients.

KW - Lp-maximal regularity

KW - Non-autonomous

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KW - Second order cauchy problem

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BT - Handbook of Evolution Equations

PB - Nova Science Publishers, Inc.

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Maximal lp-regularity for second order non-autonomous evolution equations in umd banach spaces and application

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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Cite this