Geodesic
Accurate Spectral Asymptotics for periodic operators
Journées équations aux dérivées partielles (1999), article no. 5, 11 p.

Voir la notice de l'acte provenant de la source Numdam

Asymptotics with sharp remainder estimates are recovered for number 𝐍(τ) of eigenvalues of operator A(x,D)-tW(x,x) crossing level E as t runs from 0 to τ, τ→∞. Here A is periodic matrix operator, matrix W is positive, periodic with respect to first copy of x and decaying as second copy of x goes to infinity, E either belongs to a spectral gap of A or is one its ends. These problems are first treated in papers of M. Sh. Birman, M. Sh. Birman-A. Laptev and M. Sh. Birman-T. Suslina.

@incollection{JEDP_1999____A5_0,
     author = {Ivrii, Victor},
     title = {Accurate {Spectral} {Asymptotics} for periodic operators},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {5},
     pages = {1--11},
     publisher = {Universit\'e de Nantes},
     year = {1999},
     doi = {10.5802/jedp.549},
     mrnumber = {2000h:35125},
     zbl = {01810578},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.549/}
}
TY  - JOUR
AU  - Ivrii, Victor
TI  - Accurate Spectral Asymptotics for periodic operators
JO  - Journées équations aux dérivées partielles
PY  - 1999
SP  - 1
EP  - 11
PB  - Université de Nantes
UR  - http://geodesic.mathdoc.fr/articles/10.5802/jedp.549/
DO  - 10.5802/jedp.549
LA  - en
ID  - JEDP_1999____A5_0
ER  - 
%0 Journal Article
%A Ivrii, Victor
%T Accurate Spectral Asymptotics for periodic operators
%J Journées équations aux dérivées partielles
%D 1999
%P 1-11
%I Université de Nantes
%U http://geodesic.mathdoc.fr/articles/10.5802/jedp.549/
%R 10.5802/jedp.549
%G en
%F JEDP_1999____A5_0
Ivrii, Victor. Accurate Spectral Asymptotics for periodic operators. Journées équations aux dérivées partielles (1999), article  no. 5, 11 p.. doi: 10.5802/jedp.549

Cité par Sources :