Instabilité spectrale semiclassique pour des opérateurs non-autoadjoints I : un modèle
Hager, Mildred1
1 CMLS, École polytechnique, 91128 Palaiseau Cédex, France, UMR 7640
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 15 (2006) no. 2, pp. 243-280.

Dans ce travail, nous considérons un opérateur différentiel simple ainsi que des perturbations. Alors que le spectre de l’opérateur non-perturbé est confiné à une droite à l’intérieur du pseudospectre, nous montrons pour les opérateurs perturbés que les valeurs propres se distribuent à l’intérieur du pseudospectre d’après une loi de Weyl.

In this work, we consider a simple differential operator as well as perturbations. While the spectrum of the unperturbed operator is confined to a line inside the pseudospectrum, we show for the perturbed operators that the eigenvalues are distributed inside the pseudospectrum according to a bidimensional Weyl law.

DOI : 10.5802/afst.1121
Hager, Mildred 1

1 CMLS, École polytechnique, 91128 Palaiseau Cédex, France, UMR 7640 
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Hager, Mildred. Instabilité spectrale semiclassique pour des opérateurs non-autoadjoints I : un modèle. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 15 (2006) no. 2, pp. 243-280. doi : 10.5802/afst.1121. https://www.numdam.org/articles/10.5802/afst.1121/

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