Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator
| dc.contributor.author | Pereira, Marcone | |
| dc.date.accessioned | 2021-05-13T19:30:53Z | |
| dc.date.available | 2021-05-13T19:30:53Z | |
| dc.date.issued | 2004-09-29 | |
| dc.description | Addendum: Posted June 30, 2006. <p>The author wants to correct some typing mistakes found in Section 5. The <i>open</i> interval (−M, 0) must be replaced by the <i>closed</i> interval [−M, 0] in the following definitions: G in Lemma 5.3, Q in Lemma 5.4, and F in Theorem 5.5. This condition is used in their proofs.</p> | |
| dc.description.abstract | In this work we show that the eigenvalues of the Dirichlet problem for the Bilaplacian are generically simple in the set of C4-regular regions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Pereira, M. C. (2004). Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator. <i>Electronic Journal of Differential Equations, 2004</i>(114), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13534 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Generic properties | |
| dc.subject | Perturbation of the boundary | |
| dc.subject | Bilaplacian | |
| dc.title | Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator | |
| dc.type | Article |