Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator
n this work we show that the eigenvalues of the Dirichlet problem for the Bilaplacian are generically simple in the set of $C^4$-regular regions.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/114 |
| _version_ | 1818853620880244736 |
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| author | Marcone C. Pereira |
| author_facet | Marcone C. Pereira |
| author_sort | Marcone C. Pereira |
| collection | DOAJ |
| description | n this work we show that the eigenvalues of the Dirichlet problem for the Bilaplacian are generically simple in the set of $C^4$-regular regions. |
| first_indexed | 2024-12-19T07:39:43Z |
| format | Article |
| id | doaj.art-a9ea5c836473449cbe8ab452f56f4342 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T07:39:43Z |
| publishDate | 2004-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a9ea5c836473449cbe8ab452f56f43422022-12-21T20:30:30ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-09-012004114121Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operatorMarcone C. Pereiran this work we show that the eigenvalues of the Dirichlet problem for the Bilaplacian are generically simple in the set of $C^4$-regular regions.http://ejde.math.txstate.edu/Volumes/2004/114Generic propertiesperturbation of the boundarybilaplacian. |
| spellingShingle | Marcone C. Pereira Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator Electronic Journal of Differential Equations Generic properties perturbation of the boundary bilaplacian. |
| title | Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator |
| title_full | Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator |
| title_fullStr | Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator |
| title_full_unstemmed | Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator |
| title_short | Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator |
| title_sort | generic simplicity of eigenvalues for a dirichlet problem of the bilaplacian operator |
| topic | Generic properties perturbation of the boundary bilaplacian. |
| url | http://ejde.math.txstate.edu/Volumes/2004/114 |
| work_keys_str_mv | AT marconecpereira genericsimplicityofeigenvaluesforadirichletproblemofthebilaplacianoperator |