Nonlocal boundary value problem for second order abstract elliptic differential equation

Mohamed Denche

Abstract and Applied Analysis, 1999, vol. 4, 1-16

Abstract:

We establish conditions that guarantee Fredholm solvability in the Banach space L p of nonlocal boundary value problems for elliptic abstract differential equations of the second order in an interval. Moreover, in the space L 2 we prove in addition the coercive solvability, and the completeness of root functions (eigenfunctions and associated functions). The obtained results are then applied to the study of a nonlocal boundary value problem for Laplace equation in a cylindrical domain.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:207419

DOI: 10.1155/S1085337599000135

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