Comptes Rendus
no. 8
On regular and singular perturbations of acoustic and quantum waveguides
[Sur des perturbations régulières et singulières dans des guides d'ondes acoustiques et quantiques]

Présenté par : Évariste Sanchez-Palencia

Rustem R. Gadyl'shin1, 2
1 Bashkir State Pedagogical University, 3a October revolution str., 450000 Ufa, Russia
2 Institute of Mathematics, Ufa Science Center of Russian Academy of Sciences, 112, Chernyshevski str., 450077 Ufa, Russia
Comptes Rendus. Mécanique, Volume 332 (2004) no. 8, pp. 647-652.

On considère des perturbations régulières et singulières des problèmes aux limites de Dirichlet et de Neumann pour l'équation de Helmholtz dans les cylindres n-dimensionnels. Sont étudies l'existence des valeurs propres et de leur comportement asymptotique.

We consider regular and singular perturbations of the Dirichlet and Neumann boundary value problems for the Helmholtz equation in n-dimensional cylinders. The existence of eigenvalues and their asymptotics are studied.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2004.03.010
Keywords: Acoustics, Waveguide, Perturbation, Eigenvalue
Mot clés : Acoustique, Guide d'ondes, Perturbation, Valeur propre
Rustem R. Gadyl'shin 1, 2

1 Bashkir State Pedagogical University, 3a October revolution str., 450000 Ufa, Russia
2 Institute of Mathematics, Ufa Science Center of Russian Academy of Sciences, 112, Chernyshevski str., 450077 Ufa, Russia 
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Rustem R. Gadyl'shin. On regular and singular perturbations of acoustic and quantum waveguides. Comptes Rendus. Mécanique, Volume 332 (2004) no. 8, pp. 647-652. doi : 10.1016/j.crme.2004.03.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.03.010/

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