Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator
We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds if some unique continuation property is satis...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/571951 |
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| _version_ | 1832565774728822784 |
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| author | Khalil Ben Haddouch Zakaria El Allali El Bekkaye Mermri Najib Tsouli |
| author_facet | Khalil Ben Haddouch Zakaria El Allali El Bekkaye Mermri Najib Tsouli |
| author_sort | Khalil Ben Haddouch |
| collection | DOAJ |
| description | We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds if some unique continuation property is satisfied by the corresponding eigenfunctions. |
| format | Article |
| id | doaj-art-48d51c448eb54648af9919de9a812568 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-48d51c448eb54648af9919de9a8125682025-02-03T01:06:41ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/571951571951Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic OperatorKhalil Ben Haddouch0Zakaria El Allali1El Bekkaye Mermri2Najib Tsouli3Department of Mathematics and Computer Science, Faculty of Science, University Mohammed Premier, 60050 Oujda, MoroccoDepartment of Mathematics and Computer Science, Faculty of Science, University Mohammed Premier, 60050 Oujda, MoroccoDepartment of Mathematics and Computer Science, Faculty of Science, University Mohammed Premier, 60050 Oujda, MoroccoDepartment of Mathematics and Computer Science, Faculty of Science, University Mohammed Premier, 60050 Oujda, MoroccoWe will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds if some unique continuation property is satisfied by the corresponding eigenfunctions.http://dx.doi.org/10.1155/2012/571951 |
| spellingShingle | Khalil Ben Haddouch Zakaria El Allali El Bekkaye Mermri Najib Tsouli Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator Abstract and Applied Analysis |
| title | Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator |
| title_full | Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator |
| title_fullStr | Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator |
| title_full_unstemmed | Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator |
| title_short | Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator |
| title_sort | strict monotonicity and unique continuation for the third order spectrum of biharmonic operator |
| url | http://dx.doi.org/10.1155/2012/571951 |
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