Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients—Part 2
Volume 92 / 2002
Colloquium Mathematicum 92 (2002), 1-18
MSC: Primary 35P20.
DOI: 10.4064/cm92-1-1
Abstract
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.
