Nonlocal boundary value problem for second order abstract elliptic differential equation
We establish conditions that guarantee Fredholm solvability in the Banach space Lp of nonlocal boundary value problems for elliptic abstract differential equations of the second order in an interval. Moreover, in the space L2 we prove in addition the coercive solvability, and the completeness of roo...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337599000135 |
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| Summary: | We establish conditions that guarantee Fredholm solvability in
the Banach space Lp of nonlocal boundary value problems for elliptic abstract differential equations of the second order in an interval. Moreover, in the space L2 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. |
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| ISSN: | 1085-3375 1687-0409 |