Degenerate Differential Operators with Parameters | Zendy

Veli Shakhmurov | Zendy

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Degenerate Differential Operators with Parameters

Author(s) -

Veli Shakhmurov

Publication year - 2007

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2007/51410

Subject(s) - degenerate energy levels , mathematics , domain (mathematical analysis) , boundary value problem , elliptic operator , operator (biology) , banach space , mathematical analysis , physics , chemistry , quantum mechanics , biochemistry , repressor , transcription factor , gene

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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