Geodesic
Sharp spectral asymptotics and Weyl formula for elliptic operators with Non-smooth Coefficients—Part 2
Lech Zielinski1
1 Laboratoire de Mathématiques Pures et Appliquées (LMPA) Centre Universitaire de la Mi-Voix Université du Littoral 50, rue F. Buisson, B.P. 699 62228 Calais Cedex, France
Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 1-18.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm92-1-1
Keywords: describe asymptotic distribution eigenvalues self adjoint elliptic differential operators assuming first order derivatives coefficients lipschitz continuous consider asymptotic formula rmanders type spectral function pseudodifferential operators obtained via regularization procedure non smooth coefficients

Lech Zielinski 1

1 Laboratoire de Mathématiques Pures et Appliquées (LMPA) Centre Universitaire de la Mi-Voix Université du Littoral 50, rue F. Buisson, B.P. 699 62228 Calais Cedex, France 
@article{10_4064_cm92_1_1,
     author = {Lech Zielinski},
     title = {Sharp spectral asymptotics and {Weyl} formula
for elliptic operators
with {Non-smooth} {Coefficients{\textemdash}Part} 2},
     journal = {Colloquium Mathematicum},
     pages = {1--18},
     publisher = {mathdoc},
     volume = {92},
     number = {1},
     year = {2002},
     doi = {10.4064/cm92-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-1/}
}
TY  - JOUR
AU  - Lech Zielinski
TI  - Sharp spectral asymptotics and Weyl formula
for elliptic operators
with Non-smooth Coefficients—Part 2
JO  - Colloquium Mathematicum
PY  - 2002
SP  - 1
EP  - 18
VL  - 92
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-1/
DO  - 10.4064/cm92-1-1
LA  - en
ID  - 10_4064_cm92_1_1
ER  - 
%0 Journal Article
%A Lech Zielinski
%T Sharp spectral asymptotics and Weyl formula
for elliptic operators
with Non-smooth Coefficients—Part 2
%J Colloquium Mathematicum
%D 2002
%P 1-18
%V 92
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-1/
%R 10.4064/cm92-1-1
%G en
%F 10_4064_cm92_1_1
Lech Zielinski. Sharp spectral asymptotics and Weyl formula
for elliptic operators
with Non-smooth Coefficients—Part 2. Colloquium Mathematicum, Tome 92 (2002) no. 1, pp. 1-18. doi : 10.4064/cm92-1-1. http://geodesic.mathdoc.fr/articles/10.4064/cm92-1-1/

Cité par Sources :