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Volumn 72, Issue 4, 1999, Pages 274-294

Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds

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EID: 37849187977     PISSN: 00180238     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (15)
  • 4
    • 0009426237 scopus 로고
    • Scattering theory for the wave equation on noncompact manifolds
    • S. DeBièvre, P. D. Hislop, I. M. Sigal: Scattering theory for the wave equation on noncompact manifolds, Rev. Math. Phys. 4(1992), 575-608.
    • (1992) Rev. Math. Phys. , vol.4 , pp. 575-608
    • Debièvre, S.1    Hislop, P.D.2    Sigal, I.M.3
  • 5
    • 33847613019 scopus 로고
    • Scattering for the wave equation on the Schwarzschild metric
    • J. Dimock: Scattering for the wave equation on the Schwarzschild metric, Gen. Rel. and Grav. 17(1985), 353-369.
    • (1985) Gen. Rel. and Grav. , vol.17 , pp. 353-369
    • Dimock, J.1
  • 6
    • 0001647726 scopus 로고
    • Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric I
    • J. Dimock, B.S. Kay: Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric I, Ann. Phys. 175(1987), 366-426.
    • (1987) Ann. Phys. , vol.175 , pp. 366-426
    • Dimock, J.1    Kay, B.S.2
  • 7
    • 84972579463 scopus 로고
    • Spectral analysis of second-order elliptic operators on noncompact manifolds
    • R. Froese, P. D. Hislop: Spectral analysis of second-order elliptic operators on noncompact manifolds, Duke Math. J. 58(1989), 103-129.
    • (1989) Duke Math. J. , vol.58 , pp. 103-129
    • Froese, R.1    Hislop, P.D.2
  • 8
    • 0000818765 scopus 로고
    • Nonlinear Schrödinger equations
    • Springer
    • T. Kato: Nonlinear Schrödinger equations, in: Schrödinger operators, Lcct. Notes Phys. 345, Springer 1989, 218-263.
    • (1989) Schrödinger Operators, Lcct. Notes Phys. , vol.345 , pp. 218-263
    • Kato, T.1
  • 9
    • 37949039450 scopus 로고
    • Scattering theory for long range potentials
    • R. Lavine: Scattering theory for long range potentials, J. Funct. Anal. 5(1970), 368-382.
    • (1970) J. Funct. Anal. , vol.5 , pp. 368-382
    • Lavine, R.1
  • 10
    • 0001773846 scopus 로고
    • Non linear Klein-Gordon equation on Schwarzschild-like metrics
    • J.-P. Nicolas: Non linear Klein-Gordon equation on Schwarzschild-like metrics, J. Math. Pures Appl. 74(1995), 35-58.
    • (1995) J. Math. Pures Appl. , vol.74 , pp. 35-58
    • Nicolas, J.-P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.