On solvability of boundary value problem for elliptic equations with Bitsadze-Samarskiĭ condition

J. H. Chabrowski

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-13

Abstract:

In this paper we investigate the solvability of a non-local problem for a linear elliptic equation, which is also known as the boundary value problem with the Bitsadze-Samarskiĭ condition. We prove the existence and uniqueness of a classical solution to this problem. In the final part of this paper we propose an L 2 -approach which gives a rise to weak solutions in a weighted Sobolev space. The crucial point in proving the existence of weak solutions is a suitable modification of the Bitsadze-Samarskiĭ condition.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:219863

DOI: 10.1155/S0161171288000158

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