메뉴 건너뛰기




Volumn 8, Issue 5, 2003, Pages 595-614

Semilinear wave equations on the schwarzschild manifold i: Local decay estimates

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3042779320     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (109)

References (15)
  • 1
    • 0000759423 scopus 로고
    • Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric
    • A. Bachelot, Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric, Ann. Inst. H. Poincaré, Phys. Théor., 61 (1994), 411-441.
    • (1994) Ann. Inst. H. Poincaré, Phys. Théor. , vol.61 , pp. 411-441
    • Bachelot, A.1
  • 2
    • 17044429474 scopus 로고
    • Equation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild
    • A. Bachelot and J.-P. Nicolas, Equation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild, C. R. Acad. Sci. Paris, Série I Math., 316 (1993), 1047-1050.
    • (1993) C. R. Acad. Sci. Paris, Série I Math. , vol.316 , pp. 1047-1050
    • Bachelot, A.1    Nicolas, J.-P.2
  • 3
    • 0009426237 scopus 로고
    • Scattering theory for the wave equation on non-compact manifolds
    • S. DeBiévre, P.D. Hislop, and I.M. Sigal, Scattering theory for the wave equation on non-compact manifolds, Rev. Math. Phys., 4 (1992), 575-608.
    • (1992) Rev. Math. Phys. , vol.4 , pp. 575-608
    • DeBiévre, S.1    Hislop, P.D.2    Sigal, I.M.3
  • 4
    • 33847613019 scopus 로고
    • Scattering for the wave equation on the Schwarzschild metric
    • J. Dimock, Scattering for the wave equation on the Schwarzschild metric, Gen. Relativity Gravitation, 17 (1985), 353-369.
    • (1985) Gen. Relativity Gravitation , vol.17 , pp. 353-369
    • Dimock, J.1
  • 5
    • 0001647726 scopus 로고
    • Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric I
    • J. Dimock and 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
  • 6
    • 0036026976 scopus 로고    scopus 로고
    • Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry
    • F. Finster, N. Kamran, J. Smoller, and S.-T. Yau, Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry, Comm. Math. Phys., (2002), 201-244.
    • (2002) Comm. Math. Phys. , pp. 201-244
    • Finster, F.1    Kamran, N.2    Smoller, J.3    Yau, S.-T.4
  • 7
    • 84972579463 scopus 로고
    • Spectral analysis of second-order elliptic operators on noncompact manifolds
    • R. Froese and 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
    • 37849187977 scopus 로고    scopus 로고
    • Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds
    • I. Łaba and A. Soffer, Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds, Helv. Phys. Acta, 72 (1999), 274-294.
    • (1999) Helv. Phys. Acta , vol.72 , pp. 274-294
    • Łaba, I.1    Soffer, A.2
  • 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
    • 84980140132 scopus 로고
    • Decay of solutions of the wave equation outside nontrapping obstacles
    • C.S. Morawetz, J.V. Ralston, and W.A. Strauss, Decay of solutions of the wave equation outside nontrapping obstacles, Comm. Pure Appl. Math., 30 (1977), 447-508.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 447-508
    • Morawetz, C.S.1    Ralston, J.V.2    Strauss, W.A.3
  • 11
    • 84980186602 scopus 로고
    • Correction to: "Decay of solutions of the wave equation outside nontrapping obstacles"
    • C.S. Morawetz, J.V. Ralston, and W.A. Strauss, Correction to: "Decay of solutions of the wave equation outside nontrapping obstacles", Comm. Pure Appl. Math., 31 (1978), 795.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 795
    • Morawetz, C.S.1    Ralston, J.V.2    Strauss, W.A.3
  • 12
    • 0001773846 scopus 로고
    • Nonlinear Klein-Gordon equation on Schwarzschild-like metrics
    • J.P. Nicolas, Nonlinear 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
  • 13
    • 0031539570 scopus 로고    scopus 로고
    • Distribution of resonances for spherical black holes
    • A. Sá Barreto and M. Zworski, Distribution of resonances for spherical black holes, Math. Res. Lett., 4 (1997), 103-121.
    • (1997) Math. Res. Lett. , vol.4 , pp. 103-121
    • Sá Barreto, A.1    Zworski, M.2
  • 14
    • 0005120711 scopus 로고
    • Spin Field Equations and Yang-Mills Equations
    • Ph. D. these, Princeton University
    • W.T. Shu, Spin Field Equations and Yang-Mills Equations, Ph. D. these, Princeton University, 1990.
    • (1990)
    • Shu, W.T.1
  • 15
    • 84894271523 scopus 로고    scopus 로고
    • The interaction of gravity with other fields
    • preprint, xxx.lanl.gov gr-qc/0202057
    • J. Smoller, The interaction of gravity with other fields, preprint(2002) xxx.lanl.gov gr-qc/0202057.
    • (2002)
    • Smoller, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.