Anisotropic elliptic equations with VMO coefficients

Anisotropic elliptic equations with VMO coefficients

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....

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Veröffentlicht in:Applied mathematics and computation 2011-10, Vol.218 (3), p.1057-1062
1. Verfasser: Shakhmurov, Veli B.
Format: Artikel
Sprache:eng
Schlagworte:
Anisotropy
Boundary value problems
Differential equations with VMO coefficients
Differential-operator equations
Generators
Mathematical analysis
Mathematical models
Maximal Lp regularity
Operators
Oscillations
Regularity
Roots
Semigroups of operators
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Beschreibung
Zusammenfassung: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.03.087