@article{FAA_1980_14_2_a3,
author = {V. Ya. Ivrii},
title = {Second term of the spectral asymptotic expansion of the {Laplace{\textendash}Beltrami} operator on manifolds with boundary},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {25--34},
year = {1980},
volume = {14},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1980_14_2_a3/}
}
TY - JOUR AU - V. Ya. Ivrii TI - Second term of the spectral asymptotic expansion of the Laplace–Beltrami operator on manifolds with boundary JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1980 SP - 25 EP - 34 VL - 14 IS - 2 UR - http://geodesic.mathdoc.fr/item/FAA_1980_14_2_a3/ LA - ru ID - FAA_1980_14_2_a3 ER -
V. Ya. Ivrii. Second term of the spectral asymptotic expansion of the Laplace–Beltrami operator on manifolds with boundary. Funkcionalʹnyj analiz i ego priloženiâ, Tome 14 (1980) no. 2, pp. 25-34. http://geodesic.mathdoc.fr/item/FAA_1980_14_2_a3/
[1] Babich V.M., Levitan B.M., “Zadachi o fokusirovke i asimptotika spektralnoi funktsii operatora Laplasa–Beltrami”, DAN SSSR, 230:5 (1978), 1017–1020 | MR
[2] Ivrii V.Ya., “Rasprostranenie osobennostei resheniya volnovogo uravneniya vblizi granitsy”, DAN SSSR, 239:4 (1978), 772–774 | MR | Zbl
[3] Ivrii V.Ya., “Volnovye fronty reshenii kraevykh zadach dlya simmetricheskikh giperbolicheskikh sistem. I. Osnovnaya teorema”, Sib. matem. zh., 20:4 (1979), 741–751 | MR
[4] Nirenberg L., “Lektsii o lineinykh differentsialnykh uravneniyakh s chastnymi proizvodnymi”, UMN, XXX:4 (1975), 147–204 | MR
[5] Fedoryuk M.V., “Osobennosti yader integralnykh operatorov Fure i asimptotika resheniya smeshannoi zadachi”, UMN, XXXII:6 (1977), 67–115 | MR | Zbl
[6] Shubin M.A., Psevdodifferentsialnye operatory i spektralnaya teoriya, Nauka, M., 1978 | MR
[7] Courant R., “Über die Eigenwerte bei den Differentialgleichungen der mathematischen Physik”, Math. Z., 7 (1920), 1–57 | DOI | MR | Zbl
[8] Duistermaat J.J., Guilleman V.W., “The spectrum of positive elliptic operators and periodic bicharacteristics.”, Invent. Math., 29 (1975), 39–79 | DOI | MR | Zbl
[9] Hörmander L., “Fourier integral operators”, Acta Math., 127 (1971), 79–183 | DOI | MR | Zbl
[10] Hörmander L., “The spectral function of an elliptic operator”, Acta. Math., 121:1–2 (1968), 193–218 | DOI | MR | Zbl
[11] Melrose R.B., Sjöstrand J., “Singularities of boundary value problems. I”, Comm. Pure Appl. Math., 31 (1978), 593–617 | DOI | MR | Zbl
[12] Seely R., “A sharp asymptotic remainder estimate for the eingenvalues of the Laplacian in a domain in $\mathbf R^3$”, Adv. Math., 29:2 (1978), 244–269 | DOI | MR
[13] Weyl H., “Über die asymptotische Verteilung der Eigenwerte”, Göttinger Nachr., 1911, 110–117 | Zbl