Accurate Spectral Asymptotics for periodic operators
Ivrii, Victor
Journées équations aux dérivées partielles, (1999), p. 1-11 / Harvested from Numdam
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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.

Publié le : 1999-01-01
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     author = {Ivrii, Victor},
     title = {Accurate Spectral Asymptotics for periodic operators},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1999},
     pages = {1-11},
     mrnumber = {2000h:35125},
     zbl = {01810578},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1999____A5_0}
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Ivrii, Victor. Accurate Spectral Asymptotics for periodic operators. Journées équations aux dérivées partielles,  (1999), pp. 1-11. http://gdmltest.u-ga.fr/item/JEDP_1999____A5_0/

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