Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FAA_1998_32_3_a7, author = {S. I. Boyarchenko and S. Z. Levendorskii}, title = {Spectral {Asymptotics} of {Laplacians} on {Horns:} the {Case} of a {Rapidly} {Growing} {Counting} {Function}}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {70--73}, publisher = {mathdoc}, volume = {32}, number = {3}, year = {1998}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a7/} }
TY - JOUR AU - S. I. Boyarchenko AU - S. Z. Levendorskii TI - Spectral Asymptotics of Laplacians on Horns: the Case of a Rapidly Growing Counting Function JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1998 SP - 70 EP - 73 VL - 32 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a7/ LA - ru ID - FAA_1998_32_3_a7 ER -
%0 Journal Article %A S. I. Boyarchenko %A S. Z. Levendorskii %T Spectral Asymptotics of Laplacians on Horns: the Case of a Rapidly Growing Counting Function %J Funkcionalʹnyj analiz i ego priloženiâ %D 1998 %P 70-73 %V 32 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a7/ %G ru %F FAA_1998_32_3_a7
S. I. Boyarchenko; S. Z. Levendorskii. Spectral Asymptotics of Laplacians on Horns: the Case of a Rapidly Growing Counting Function. Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 3, pp. 70-73. http://geodesic.mathdoc.fr/item/FAA_1998_32_3_a7/
[1] Van den Berg M., “On the spectrum of the Dirichlet Laplacian for horn-shaped regions in $R^{n}$ with infinite volume”, J. Funct. Anal., 58 (1984), 150–156 | DOI | MR | Zbl
[2] Davies E. B., Simon B., Geom. Funct. Anal., 2:1 (1985), 105–117 | DOI | MR
[3] Evans W. D., Harris D. J., “Sobolev embeddings for generalized ridged domains”, Proc. London Math. Soc., 54 (1987), 141–175 | DOI | MR | Zbl
[4] Fleckinger J., “Asymptotic distribution of eigenvalues of elliptic operators on unbounded domains”, Ordinary and partial differential equations, Lecture Notes in Math., 846, Springer-Verlag, New York, 1981, 119–128 | DOI | MR
[5] Feigin V. I., “Asimptoticheskoe raspredelenie sobstvennykh chisel dlya gipoellipticheskikh sistem v $R^n$”, Matem. sb., 99:4 (1976), 594–614 | MR | Zbl
[6] Hörmander L., “On the asymptotic distribution of the eigenvalues of pseudodifferential operators in $R^{n}$”, Ark. Mat., 17 (1979), 297–313 | DOI | MR | Zbl
[7] Jaksic V., Molchanov S., Simon B., “Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps”, J. Funct. Anal., 106:1 (1992), 59–79 | DOI | MR | Zbl
[8] Levendorskii S. Z., Asymptotic Distribution of Eigenvalues of Differential Operators, Kluwer Akademic Publishers, Dordrecht, 1990 | MR | Zbl
[9] Rozenblyum G. V., “O sobstvennykh chislakh pervoi kraevoi zadachi v neogranichennykh oblastyakh”, Matem. sb., 89(131):2(10) (1972), 234–247
[10] Rozenblyum G. V., Solomyak M. Z., Shubin M. A., Spektralnaya teoriya differentsialnykh operatorov, Itogi nauki i tekhniki, 64, VINITI, M., 1989 | MR
[11] Simon B., “Nonclassical eigenvalue asymptotics”, J. Funct. Anal., 53 (1983), 84–98 | DOI | MR | Zbl
[12] Tamura H., “The asymptotic distribution of eigenvalues of the Laplace operator in an unbounded domain”, Nagoya Math. J., 60 (1976), 7–33 | DOI | MR | Zbl
[13] Tulovskii V. N., Shubin M. A., “Ob asimptoticheskom raspredelenii sobstvennykh znachenii psevdodifferentsialnykh operatorov v $\mathbf R^n$”, Matem. sb., 92(134):4(12) (1973), 571–588 | MR | Zbl