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

Lech Zielinski. "Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients-Part 2." Colloquium Mathematicae 92.1 (2002): 1-18. <http://eudml.org/doc/284325>.

@article{LechZielinski2002,
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.},
author = {Lech Zielinski},
journal = {Colloquium Mathematicae},
keywords = {elliptic operators; spectral asymptotics; Weyl formula; pseudodifferential operators; regularization procedure},
language = {eng},
number = {1},
pages = {1-18},
title = {Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients-Part 2},
url = {http://eudml.org/doc/284325},
volume = {92},
year = {2002},
}

TY - JOUR
AU - Lech Zielinski
TI - Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients-Part 2
JO - Colloquium Mathematicae
PY - 2002
VL - 92
IS - 1
SP - 1
EP - 18
AB - 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.
LA - eng
KW - elliptic operators; spectral asymptotics; Weyl formula; pseudodifferential operators; regularization procedure
UR - http://eudml.org/doc/284325
ER -