Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case
Volume 99 / 2004
Colloquium Mathematicum 99 (2004), 157-174
MSC: Primary 35P20; Secondary 35Q40.
DOI: 10.4064/cm99-2-2
Abstract
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.
