In this work we show that the eigenvalues of the Dirichlet problem for the Bilaplacian are generically simple in the set of
-regular regions.
Marcone C. Pereira
Abstract:
In this work we show that the eigenvalues of the Dirichlet
problem for the Bilaplacian are generically simple in the set of
-regular regions.
Submitted April 8, 2004. Published September 29, 2004.
Math Subject Classifications: 35B20, 35J40, 58D19.
Key Words: Generic properties; perturbation of the boundary; bilaplacian.
An addendum was attached on June 30, 2006. The author corrects 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 (page 14), $Q$ in Lemma 5.4 (page 16), and $F$ in Theorem 5.5 (page 19).
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Marcone Correa Pereira Instituto de Matemática e Estatística Universidade de São Paulo, São Paulo, Brazil email: marcone@ime.usp.br |
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