Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case

• Autorzy: Lech Zieliński
• Języki publikacji: EN

Abstrakty

EN

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 values as well.

Kategorie tematyczne

• 35Q40: PDEs in connection with quantum mechanics
• 35P20: Asymptotic distribution of eigenvalues and eigenfunctions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 2
• Strony: 157-174

Daty

wydano

2004

Twórcy

autor

Lech Zieliński

• LMPA, Centre Universitaire de la Mi-Voix, Université du Littoral, 50, rue F. Buisson, B.P. 699, 62228 Calais Cedex, France

Identyfikatory

DOI

10.4064/cm99-2-2