SINGULAR PERTURBATIONS FOR ABSTRACT ELLIPTIC OPERATORS AND APPLICATIONS

被引：0

作者：

Shakhmurov, V. B. ^{[1
]}

机构：

[1] Okan Univ, Dept Elect Engn & Commun, TR-34959 Istanbul, Turkey

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2012年 / 2卷 / 01期

关键词：

Boundary value problems; differential-operator equations; Banach-valued function spaces; operator-valued multipliers; interpolation of Banach spaces; semigroup of operators;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Dirichlet problem for parameter depended elliptic differential-operator equation with variable coefficients in smooth domains is studied. The uniform maximal regularity, Fredholmness and the positivity of this problem in vector-valued Lp-spaces are obtained. It is proven that the corresponding differential operator is positive and is a generator of an analytic semigroup. In application, the maximal regularity properties of Cauchy problem for abstract parabolic equation and anisotropic elliptic equations with small parameters are established.

引用

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页码：19 / 34

页数：16

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