Degenerate Differential Operators with Parameters

Shakhmurov, Veli B.

doi:https://doi.org/10.1155/2007/51410

Abstract and Applied Analysis

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Research Article | Open Access

Volume 2007 | Article ID 051410 | https://doi.org/10.1155/2007/51410

Degenerate Differential Operators with Parameters

Veli B. Shakhmurov¹

Academic Editor: Pavel E. Sobolevskii

Received29 Sept 2006

Accepted28 Feb 2007

Published14 May 2007

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 Lp− 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.

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Copyright

Copyright © 2007 Veli B. Shakhmurov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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