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

页码：19 / 34

页数：16

共 25 条

[1] Multipoint problems for degenerate abstract differential equations [J].

Agarwal, R. P. ;

Shakhmurov, V. B. .

ACTA MATHEMATICA HUNGARICA, 2009, 123 (1-2) :65-89

[2] Uniform separable differential operators with parameters [J].

Agarwal, Ravi P. ;

O'Regan, Donal ;

Shakhmurov, Veli B. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (01) :2-16

[3] ON EIGENFUNCTIONS AND ON EIGENVALUES OF GENERAL ELLIPTIC BOUNDARY VALUE PROBLEMS [J].

AGMON, S .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1962, 15 (02) :119-&

[4]

Amann H., 1995, LINEAR QUASILINEAR E

[5] On well-posedness of the nonlocal boundary value problems for elliptic equations [J].

Ashyralyev, A .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (1-2) :1-15

[6]

BESOV OV, 1975, INTEGRAL REPRESENTAT

[7]

Burkholder D. L., 1983, P C HARM AN HON ANT, P270

[8]

Calderon AP., 1964, STUDIA MATH, V24, P113, DOI 10.4064/sm-24-2-113-190

[9]

Denk R, 2003, MEM AM MATH SOC, V166, P1

[10]

Gilbarg D., 1998, ELLIPTIC PATIAL DIFF

← 1 2 3 →