메뉴 건너뛰기




Volumn 181, Issue 3, 2002, Pages 283-308

Eigenvalue asymptotics for a class of md-elliptic Ψdo's on manifolds with cylindrical exits

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1642451027     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s102310100042     Document Type: Article
Times cited : (22)

References (23)
  • 1
    • 0000243409 scopus 로고
    • On heat equation and index theorem
    • Atiyah, M., Bott, R., Patodi, V.K.: On heat equation and index theorem. Invent, math. 19, 279-330 (1973)
    • (1973) Invent, Math. , vol.19 , pp. 279-330
    • Atiyah, M.1    Bott, R.2    Patodi, V.K.3
  • 3
    • 0010602015 scopus 로고
    • Proprietés asymptotiques des fonctions fondamentales des membranes vibrantes
    • Carleman, T.: Proprietés asymptotiques des fonctions fondamentales des membranes vibrantes. C.R. 8me Congres Math. Scand. Stockholm 34-44 (1935)
    • (1935) C.R. 8me Congres Math. Scand. Stockholm , pp. 34-44
    • Carleman, T.1
  • 4
    • 34250424496 scopus 로고
    • Formule de Poisson pour les variétés riemanniennes
    • Chazarain, J.: Formule de Poisson pour les variétés riemanniennes. Invent. math. 24, 65-82 (1974)
    • (1974) Invent. Math. , vol.24 , pp. 65-82
    • Chazarain, J.1
  • 5
    • 0003243377 scopus 로고
    • The technique of pseudodifferential operators
    • London Math. Society, Cambridge: Cambridge Univ. Press
    • Cordes, H.O.: The Technique of Pseudodifferential Operators. London Math. Society, Lect. Notes Series 202, Cambridge: Cambridge Univ. Press 1995
    • (1995) Lect. Notes Series , vol.202
    • Cordes, H.O.1
  • 6
    • 33646611421 scopus 로고
    • The spectrum of positive elliptic operators and periodic bicharacteristics
    • Duistermat, J.J., Guillemin, V.W.: The spectrum of positive elliptic operators and periodic bicharacteristics. Invent, math. 29, 39-79 (1975)
    • (1975) Invent, Math. , vol.29 , pp. 39-79
    • Duistermat, J.J.1    Guillemin, V.W.2
  • 7
    • 4243367988 scopus 로고
    • On the asymptotic distribution of eigenvalues and eigenfunctions of elliptic differential operators
    • Gärding, L.: On the asymptotic distribution of eigenvalues and eigenfunctions of elliptic differential operators. Math. Scand. 1, 237-255 (1953)
    • (1953) Math. Scand. , vol.1 , pp. 237-255
    • Gärding, L.1
  • 8
    • 0039176090 scopus 로고    scopus 로고
    • Théorie spectrale pour des opérateurs globalement elliptiques
    • Helffer, B.: Théorie Spectrale pour des Opérateurs Globalement Elliptiques. Asterisque 112 (1984)
    • Asterisque , vol.112 , pp. 1984
    • Helffer, B.1
  • 10
    • 33646945324 scopus 로고
    • The spectral function of an elliptic operator
    • Hörmander, L.: The spectral function of an elliptic operator. Acta Math. 121, 193-218 (1968)
    • (1968) Acta Math. , vol.121 , pp. 193-218
    • Hörmander, L.1
  • 13
    • 0003587446 scopus 로고
    • Asymptotic distribution of eigenvalues of differential operators
    • Kluwer Acad. Publishers
    • Levendorskii, S.: Asymptotic Distribution of Eigenvalues of Differential Operators. MIA Series, Kluwer Acad. Publishers 1990
    • (1990) MIA Series
    • Levendorskii, S.1
  • 14
    • 0003360689 scopus 로고
    • Geometric scattering theory
    • Cambridge: Cambridge Univ. Press
    • Melrose, R.B.: Geometric scattering theory. Stanford Lectures. Cambridge: Cambridge Univ. Press 1995
    • (1995) Stanford Lectures
    • Melrose, R.B.1
  • 16
    • 0003316678 scopus 로고    scopus 로고
    • Semigroups of linear operators and applications to partial differential equations
    • Springer 1983
    • Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. AMS 44, Springer 1983
    • AMS , vol.44
    • Pazy, A.1
  • 17
    • 0010833817 scopus 로고
    • Spaces of weighted symbols and weighted Sobolev spaces on manifolds
    • Springer
    • Schrohe, E.: Spaces of weighted symbols and weighted Sobolev spaces on manifolds. LNM 1256, 360-377, Springer 1987
    • (1987) LNM , vol.1256 , pp. 360-377
    • Schrohe, E.1
  • 20
    • 0003278083 scopus 로고
    • Partial differential equations
    • New York: Springer
    • Taylor, M.E.: Partial Differential Equations, vol. II. AMS 116, New York: Springer 1995
    • (1995) AMS 116 , vol.2
    • Taylor, M.E.1
  • 23
    • 0001117305 scopus 로고
    • Die asymptotische verteilungsgetze der eigenwerte linear partieller differentialgleichungen
    • Weyl, H.: Die asymptotische Verteilungsgetze der Eigenwerte Linear Partieller Differentialgleichungen. Math. Ann. 71, 441-479 (1912)
    • (1912) Math. Ann. , vol.71 , pp. 441-479
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.