Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator
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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.
Addendum: Posted June 30, 2006.
The author wants to correct some typing mistakes found in Section 5. The open interval (−M, 0) must be replaced by the closed 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.
CitationPereira, M. C. (2004). Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator. Electronic Journal of Differential Equations, 2004(114), pp. 1-21.
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