(1) LMPA, Centre Mi-Voix, Université du Littoral, BP 699, 62228 Calais Cedex, France;(2) IMJ, Mathématiques, Université Paris 7, case 7012, 2 place Jussieu, 75251 Paris Cedex 05, France
Abstract:
We investigate the semiclassical Weyl formula describing the asymptotic behaviour of the counting function for the number of eigenvalues in the case of self-adjoint elliptic differential operators satisfying weak regularity hypotheses. We consider symbols with possible critical points and with coefficients which have Hölder continuous derivatives of first order.Mathematics Subject Classification (2000) 35P20.
