Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case

Lech Zieliński. "Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case." Colloquium Mathematicae 99.2 (2004): 157-174. <http://eudml.org/doc/285239>.

@article{LechZieliński2004,
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.},
author = {Lech Zieliński},
journal = {Colloquium Mathematicae},
keywords = {spectral asymptotics; semiclassical approximation; Weyl formula; elliptic operators},
language = {eng},
number = {2},
pages = {157-174},
title = {Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case},
url = {http://eudml.org/doc/285239},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Lech Zieliński
TI - Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 2
SP - 157
EP - 174
AB - 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.
LA - eng
KW - spectral asymptotics; semiclassical approximation; Weyl formula; elliptic operators
UR - http://eudml.org/doc/285239
ER -