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Johannes Sjöstrand
Lecture notes : Spectral properties of non-self-adjoint operators
Journées équations aux dérivées partielles (2009), Exp. No. 1, 111 p., doi: 10.5802/jedp.54
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Résumé - Abstract

Ce texte contient une version légèrement completée de mon cours de 6 heures au colloque d’équations aux dérivées partielles à Évian-les-Bains en juin 2009. Dans la première partie on expose quelques résultats anciens et récents sur les opérateurs non-autoadjoints. La deuxième partie est consacrée aux résultats récents sur la distribution de Weyl des valeurs propres des opérateurs elliptiques avec des petites perturbations aléatoires. La partie III, en collaboration avec B. Helffer, donne des bornes explicites dans le théorème de Gearhardt-Prüss pour des semi-groupes.

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