Uniqueness of semilinear elliptic inverse problem
We consider the uniqueness of the inverse problem for a semilinear elliptic differential equation with Dirichlet condition. The necessary and sufficient condition of unique solution is obtained. We improved the results obtained by Isakov and Sylvester (1994) for the same problem.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203304326 |
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doaj-b992c024f046480f9b55a954be5d5e292020-11-24T22:56:14ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003674217422710.1155/S0161171203304326Uniqueness of semilinear elliptic inverse problemChaochun Qu0Ping Wang1Department of Mathematics, Yunnan University, Yunnan, Kunming 650091, ChinaDepartment of Mathematics, Penn State University, Schuylkill Haven 17972, PA, USAWe consider the uniqueness of the inverse problem for a semilinear elliptic differential equation with Dirichlet condition. The necessary and sufficient condition of unique solution is obtained. We improved the results obtained by Isakov and Sylvester (1994) for the same problem.http://dx.doi.org/10.1155/S0161171203304326 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chaochun Qu Ping Wang |
| spellingShingle |
Chaochun Qu Ping Wang Uniqueness of semilinear elliptic inverse problem International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Chaochun Qu Ping Wang |
| author_sort |
Chaochun Qu |
| title |
Uniqueness of semilinear elliptic inverse problem |
| title_short |
Uniqueness of semilinear elliptic inverse problem |
| title_full |
Uniqueness of semilinear elliptic inverse problem |
| title_fullStr |
Uniqueness of semilinear elliptic inverse problem |
| title_full_unstemmed |
Uniqueness of semilinear elliptic inverse problem |
| title_sort |
uniqueness of semilinear elliptic inverse problem |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| description |
We consider the uniqueness of the inverse problem for a
semilinear elliptic differential equation with Dirichlet
condition. The necessary and sufficient condition of unique
solution is obtained. We improved the results obtained by Isakov
and Sylvester (1994) for the same problem. |
| url |
http://dx.doi.org/10.1155/S0161171203304326 |
| work_keys_str_mv |
AT chaochunqu uniquenessofsemilinearellipticinverseproblem AT pingwang uniquenessofsemilinearellipticinverseproblem |
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1725654168677384192 |