Leading term in the asymptotic spectral formula for ``nonsmooth'' elliptic problems
Funkcionalʹnyj analiz i ego priloženiâ, Tome 4 (1970) no. 4, pp. 1-13.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1970_4_4_a0,
     author = {M. Sh. Birman and M. Z. Solomyak},
     title = {Leading term in the asymptotic spectral formula for ``nonsmooth'' elliptic problems},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {1--13},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1970_4_4_a0/}
}
TY  - JOUR
AU  - M. Sh. Birman
AU  - M. Z. Solomyak
TI  - Leading term in the asymptotic spectral formula for ``nonsmooth'' elliptic problems
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1970
SP  - 1
EP  - 13
VL  - 4
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1970_4_4_a0/
LA  - ru
ID  - FAA_1970_4_4_a0
ER  - 
%0 Journal Article
%A M. Sh. Birman
%A M. Z. Solomyak
%T Leading term in the asymptotic spectral formula for ``nonsmooth'' elliptic problems
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1970
%P 1-13
%V 4
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1970_4_4_a0/
%G ru
%F FAA_1970_4_4_a0
M. Sh. Birman; M. Z. Solomyak. Leading term in the asymptotic spectral formula for ``nonsmooth'' elliptic problems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 4 (1970) no. 4, pp. 1-13. http://geodesic.mathdoc.fr/item/FAA_1970_4_4_a0/

[1] Weyl H., “Die asymptotische Verteilungsgesetze der Eigenwerte linearer partieller Differentialgleichungen”, Math. Ann., 71 (1912), 441–479 | DOI | MR | Zbl

[2] Kurant P. i Gilbert D., Metody matematicheskoi fiziki, v. 1, Gostekhizdat, M.–L., 1951 | MR

[3] Agmon S., “On kernels, eigenvalues and eigenfunctions of operators related to elliptic problems”, Comm. Pure Appl. Math., 18 (1965), 627–663 | DOI | MR | Zbl

[4] Agmon S., “Asymiptotic formulas with remainder estimates for eigenvalues of elliptic operators”, Arch. Rational Mech. Anal., 28 (1968), 165–183 | DOI | MR | Zbl

[5] Beals R., “Classes of compact operators and eigenvalue distributions for elliptic operators”, Amer. J. Math., 89 (1967), 1056–1072 | DOI | MR | Zbl

[6] Krein M.G., “Opredelenie plotnosti neodnorodnei simmetrichnoi struny, po spektru ee chastot”, DAN SSSR, 76 (1951), 345–348 | MR

[7] Gokhberg I.Ts., Krein M.G., Teoriya volterrovykh operatorov v gilbertovom prostranstve i ee prilozheniya, Nauka, M., 1967 | MR

[8] Birman M.Sh., Solomyak M.3., “Kusochno-polinomialnye priblizheniya funktsii klassov $W_p^\alpha$”, Matem. sb., 73 (1967), 331–355 | MR | Zbl

[9] Calderon A.P., “Lebesgue spaces of differentiable functions”, Conf. on partial diff. eq., Univ. of California, 1960 | MR

[10] Borzov V.V., “O kolichestvennykh kharakteristikakh singulyarnykh mer.”, Problemy matematicheskoi fiziki, 4, Izd-vo LGU, L., 1970, 42–47 | MR

[11] Gokhberg I.Ts., Krein M.G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov, Nauka, M., 1965

[12] Reals R., “Asymptotic behavior of the Green's function and spectral function of the elliiptiic operator”, J. Funct. Analysis, 5 (1970), 484–503 | DOI | MR

[13] Birman M.Sh., Solomyak M.3., “Asimptotika spektra slabo polyarnykh integralnykh operatorov”, Izv. AN SSSR, seriya matem., 34 (1970), 1142–1158 | MR | Zbl