Anisotropic elliptic equations with <i>VMO</i> coefficients
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Date
2011
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Publisher
Elsevier Science inc
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Abstract
This paper presents the study of maximal regularity properties for anisotropic differential-operator equations with VMO (vanishing mean oscillation) coefficients. We prove that the corresponding differential operator is separable and is a generator of analytic semigroup in vector-valued L-p spaces. Moreover, discreetness of spectrum and completeness of root elements of this operator is obtained. (C) 2011 Elsevier Inc. All rights reserved.
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Keywords
Differential equations with VMO coefficients, Semigroups of operators, Boundary value problems, Differential-operator equations, Maximal L-p regularity
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4
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Q1
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Q1
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Volume
218
Issue
3
Start Page
1057
End Page
1062