## Abstract and Applied Analysis

### Degenerate Differential Operators with Parameters

Veli B. Shakhmurov

#### Abstract

The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint. Several conditions for the maximal regularity uniformly with respect to the parameter and the Fredholmness in Banach-valued $L_p$ spaces of these problems are given. In applications, the nonlocal boundary value problems for degenerate elliptic partial differential equations and for systems of elliptic equations with parameters on cylindrical domain are studied.

#### Article information

Source
Abstr. Appl. Anal., Volume 2007 (2007), Article ID 51410, 27 pages.

Dates
First available in Project Euclid: 5 July 2007

https://projecteuclid.org/euclid.aaa/1183666873

Digital Object Identifier
doi:10.1155/2007/51410

Mathematical Reviews number (MathSciNet)
MR2320795

Zentralblatt MATH identifier
1181.35112

#### Citation

Shakhmurov, Veli B. Degenerate Differential Operators with Parameters. Abstr. Appl. Anal. 2007 (2007), Article ID 51410, 27 pages. doi:10.1155/2007/51410. https://projecteuclid.org/euclid.aaa/1183666873

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