Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator
Electronic journal of differential equations, Tome 2004 (2004)
In 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.
Classification :
35B20, 35J40, 58D19
Keywords: generic properties, perturbation of the boundary, bilaplacian
Keywords: generic properties, perturbation of the boundary, bilaplacian
@article{EJDE_2004__2004__a170,
author = {Pereira, Marcone C.},
title = {Generic simplicity of eigenvalues for a {Dirichlet} problem of the bilaplacian operator},
journal = {Electronic journal of differential equations},
year = {2004},
volume = {2004},
zbl = {1134.35302},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a170/}
}
Pereira, Marcone C. Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a170/