Source degenerate identification problems with smoothing overdetermination
Abstract We consider degenerate identification problems with smoothing overdetermination in abstract spaces. We establish an identifiability result using a projection method and suitable hypotheses on the operators involved and develop an identification method by reformulating the problem into a non...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1403-z |
| _version_ | 1818065166380564480 |
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| author | Fadi Awawdeh AK Alomari Ibraheem Abu-Falahah |
| author_facet | Fadi Awawdeh AK Alomari Ibraheem Abu-Falahah |
| author_sort | Fadi Awawdeh |
| collection | DOAJ |
| description | Abstract We consider degenerate identification problems with smoothing overdetermination in abstract spaces. We establish an identifiability result using a projection method and suitable hypotheses on the operators involved and develop an identification method by reformulating the problem into a nondegenerate problem. Then we use perturbation results for linear operators to solve the regular problem. The introduced identification method permits one to solve the problems under the minimum restrictions on the input data. Finally, we provide applications to degenerate differential equations that appear in mathematical physics to support the theoretical results. |
| first_indexed | 2024-12-10T14:47:34Z |
| format | Article |
| id | doaj.art-ef8dba886a2e4e3f9f11dc3a235c06e4 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T14:47:34Z |
| publishDate | 2017-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-ef8dba886a2e4e3f9f11dc3a235c06e42022-12-22T01:44:32ZengSpringerOpenAdvances in Difference Equations1687-18472017-10-012017111210.1186/s13662-017-1403-zSource degenerate identification problems with smoothing overdeterminationFadi Awawdeh0AK Alomari1Ibraheem Abu-Falahah2Department of Mathematics, Hashemite UniversityDepartment of Mathematics, Yarmouk UniversityDepartment of Mathematics, Hashemite UniversityAbstract We consider degenerate identification problems with smoothing overdetermination in abstract spaces. We establish an identifiability result using a projection method and suitable hypotheses on the operators involved and develop an identification method by reformulating the problem into a nondegenerate problem. Then we use perturbation results for linear operators to solve the regular problem. The introduced identification method permits one to solve the problems under the minimum restrictions on the input data. Finally, we provide applications to degenerate differential equations that appear in mathematical physics to support the theoretical results.http://link.springer.com/article/10.1186/s13662-017-1403-z |
| spellingShingle | Fadi Awawdeh AK Alomari Ibraheem Abu-Falahah Source degenerate identification problems with smoothing overdetermination Advances in Difference Equations |
| title | Source degenerate identification problems with smoothing overdetermination |
| title_full | Source degenerate identification problems with smoothing overdetermination |
| title_fullStr | Source degenerate identification problems with smoothing overdetermination |
| title_full_unstemmed | Source degenerate identification problems with smoothing overdetermination |
| title_short | Source degenerate identification problems with smoothing overdetermination |
| title_sort | source degenerate identification problems with smoothing overdetermination |
| url | http://link.springer.com/article/10.1186/s13662-017-1403-z |
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