on solvability of boundary value problem for elliptic equations with bitsadze-samarskiĭ condition
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ID: 232472
1988
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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 L2-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.
| Reference Key |
chabrowski1988internationalon
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| Authors | ;J. H. Chabrowski |
| Journal | structural engineering and mechanics |
| Year | 1988 |
| DOI |
10.1155/S0161171288000158
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| URL | |
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