Nonlocal boundary value problem for second order abstract elliptic differential equation
Denche, Mohamed
Abstr. Appl. Anal., Tome 4 (1999) no. 1, p. 153-168 / Harvested from Project Euclid
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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.
Publié le : 1999-05-14
Classification:  35J05,  35P20,  34G10 
@article{1049907201,
     author = {Denche, Mohamed},
     title = {Nonlocal boundary value problem for second order abstract elliptic differential equation},
     journal = {Abstr. Appl. Anal.},
     volume = {4},
     number = {1},
     year = {1999},
     pages = { 153-168},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049907201}
}

Denche, Mohamed. Nonlocal boundary value problem for second order abstract elliptic differential equation. Abstr. Appl. Anal., Tome 4 (1999) no. 1, pp.  153-168. http://gdmltest.u-ga.fr/item/1049907201/