Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients-Part 2

• Autorzy: Lech Zielinski
• Języki publikacji: EN

Abstrakty

EN

We describe the asymptotic distribution of eigenvalues of self-adjoint elliptic differential operators, assuming that the first-order derivatives of the coefficients are Lipschitz continuous. We consider the asymptotic formula of Hörmander's type for the spectral function of pseudodifferential operators obtained via a regularization procedure of non-smooth coefficients.

Kategorie tematyczne

• 35P20: Asymptotic distribution of eigenvalues and eigenfunctions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 92
• Numer: 1
• Strony: 1-18

Daty

wydano

2002

Twórcy

autor

Lech Zielinski

• Laboratoire de Mathématiques Pures et Appliquées (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/cm92-1-1