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Comportement Asymptotique du Noyau de la Résolvante et des Valeurs Propres D’un Opérateur Elliptique Non Nécessairement Auto-Adjoint

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Abstract

For a self-adjoint semi-bounded realization of a uniformly elliptic operator, S. Agmon gave the asymptotic development for the kernel of the resolvant and the asymptotic behavior for the eigenvalues. In this paper, we generalize those results to a not necessarily self-adjoint or semi-bounded realization of a uniformly elliptic operator.

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Authors and Affiliations

  1. Institut de Mathématques, Université de Nantes, Nantes, France

    Pham The Lai

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  1. Pham The Lai
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The Lai, P. Comportement Asymptotique du Noyau de la Résolvante et des Valeurs Propres D’un Opérateur Elliptique Non Nécessairement Auto-Adjoint. Israel J. Math. 23, 221–250 (1976). https://doi.org/10.1007/BF02761802

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  • DOI: https://doi.org/10.1007/BF02761802

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