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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-1,
author = {Lech Zielinski},
title = {Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients-Part 2},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {1-18},
zbl = {1002.35092},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-1}
}
Lech Zielinski. Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients-Part 2. Colloquium Mathematicae, Tome 91 (2002) pp. 1-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-1/