Pré-Publication, Document De Travail Année : 2022

Semiclassical Distribution of Eigenvalues for Elliptic Operators with Holder Continuous Coefficients, Part II: Critical Case

Résumé

We consider a version of the Weyl formula describing the asymptotic behaviour of the counting function of eigenvalues in the semiclassical approximation for self-adjoint elliptic differential operators under weak regularity hypotheses. Our aim is to treat Hölder continuous coefficients and to investigate the case of critical energy velues as well.

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Dates et versions

hal-03663022 , version 1 (09-05-2022)

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  • HAL Id : hal-03663022 , version 1

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Lech Zielinski. Semiclassical Distribution of Eigenvalues for Elliptic Operators with Holder Continuous Coefficients, Part II: Critical Case. 2022. ⟨hal-03663022⟩
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