Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator

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.

Bibliographic Details
Main Author: Marcone C. Pereira
Format: Article
Language:English
Published: Texas State University 2004-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Generic properties
perturbation of the boundary
bilaplacian.
Online Access:http://ejde.math.txstate.edu/Volumes/2004/114
Description
Summary: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.
ISSN:1072-6691

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