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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