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Volumn 3, Issue 3, 2002, Pages 537-612

Long range scattering and modified wave operators for the wave-schrödinger system

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EID: 0036433568     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-002-8627-4     Document Type: Article
Times cited : (20)

References (22)
  • 1
    • 0001448373 scopus 로고
    • Problème de Cauchy pour des systèmes hyperboliques semi-linéaires
    • A. Bachelot, Problème de Cauchy pour des systèmes hyperboliques semi-linéaires, Ann. IHP (Anal. non lin.), 1, 453-478 (1984).
    • (1984) Ann. IHP (Anal. non lin.) , vol.1 , pp. 453-478
    • Bachelot, A.1
  • 4
    • 0000228722 scopus 로고
    • On coupled Klein-Gordon-Schrödinger equations II
    • I. Fukuda and M. Tsutsumi, On coupled Klein-Gordon-Schrödinger equations II, J. Math. Anal. Appl., 66, 358 378 (1978).
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 358-378
    • Fukuda, I.1    Tsutsumi, M.2
  • 5
    • 0001632973 scopus 로고
    • Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension n ≥ 2
    • J. Ginibre and T. Ozawa, Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension n ≥ 2, Commun. Math. Phys., 151, 619-645 (1993).
    • (1993) Commun. Math. Phys. , vol.151 , pp. 619-645
    • Ginibre, J.1    Ozawa, T.2
  • 6
    • 0041153741 scopus 로고    scopus 로고
    • Long range scattering and modified wave operators for some Hartree type equations I
    • J. Ginibre and G. Velo, Long range scattering and modified wave operators for some Hartree type equations I, Rev. Math. Phys., 12, 361-429 (2000).
    • (2000) Rev. Math. Phys. , vol.12 , pp. 361-429
    • Ginibre, J.1    Velo, G.2
  • 7
    • 0034356173 scopus 로고    scopus 로고
    • Long range scattering and modified wave operators for some Hartree type equations II
    • J. Ginibre and G. Velo, Long range scattering and modified wave operators for some Hartree type equations II, Ann. H.P., 1, 753-800 (2000).
    • (2000) Ann. H.P. , vol.1 , pp. 753-800
    • Ginibre, J.1    Velo, G.2
  • 8
    • 0035922219 scopus 로고    scopus 로고
    • Long range scattering and modified wave operators for some Hartree type equations III, Gevrey spaces and low dimensions
    • J. Ginibre and G. Velo, Long range scattering and modified wave operators for some Hartree type equations III, Gevrey spaces and low dimensions, J. Diff. Eq., 175, 415-501 (2001).
    • (2001) J. Diff. Eq. , vol.175 , pp. 415-501
    • Ginibre, J.1    Velo, G.2
  • 9
    • 0001634292 scopus 로고    scopus 로고
    • On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension
    • N. Hayashi, E.I. Kaikina and P.I. Naumkin, On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension, Hokkaïdo Math. J., 27, 651-667 (1998).
    • (1998) Hokkaïdo Math. J. , vol.27 , pp. 651-667
    • Hayashi, N.1    Kaikina, E.I.2    Naumkin, P.I.3
  • 10
    • 0000462692 scopus 로고    scopus 로고
    • Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations
    • N. Hayashi and P.I. Naumkin, Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations, Am. J. Math., 120, 369-389 (1998).
    • (1998) Am. J. Math. , vol.120 , pp. 369-389
    • Hayashi, N.1    Naumkin, P.I.2
  • 12
    • 0002121786 scopus 로고    scopus 로고
    • Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential
    • N. Hayashi and P.I. Naumkin, Remarks on scattering theory and large time asymptotics of solutions to Hartree type equations with a long range potential, SUT J. of Math., 34, 13-24 (1998).
    • (1998) SUT J. of Math. , vol.34 , pp. 13-24
    • Hayashi, N.1    Naumkin, P.I.2
  • 13
    • 0032349615 scopus 로고    scopus 로고
    • Scattering theory for the Hartree equation
    • N. Hayashi, P.I. Naumkin and T. Ozawa, Scattering theory for the Hartree equation, SIAM J. Math. Anal., 29, 1256-1267 (1998).
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1256-1267
    • Hayashi, N.1    Naumkin, P.I.2    Ozawa, T.3
  • 14
    • 0000872655 scopus 로고
    • Modified wave operators for the derivative nonlinear Schrödinger equation
    • N. Hayashi and T. Ozawa, Modified wave operators for the derivative nonlinear Schrödinger equation, Math. Ann., 298, 557-576 (1994).
    • (1994) Math. Ann. , vol.298 , pp. 557-576
    • Hayashi, N.1    Ozawa, T.2
  • 15
    • 84972538859 scopus 로고
    • On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
    • N. Hayashi and W. von Wahl, On the global strong solutions of coupled Klein-Gordon-Schrödinger equations, J. Math. Soc. Japan, 39,489-497 (1987).
    • (1987) J. Math. Soc. Japan , vol.39 , pp. 489-497
    • Hayashi, N.1    Von Wahl, W.2
  • 17
    • 84990617895 scopus 로고
    • Commutator estimates and the Euler and Navier-Stokes equations
    • T. Kato and G. Ponce, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math., 41, 891-967 (1988).
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 891-967
    • Kato, T.1    Ponce, G.2
  • 18
    • 0001020698 scopus 로고
    • The initial value problem for a class of nonlinear dispersive equations, in functional-analytic methods for partial differential equations
    • C. Kenig, G. Ponce and L. Vega, The initial value problem for a class of nonlinear dispersive equations, in Functional-Analytic Methods for Partial Differential Equations, Lect. Notes Math., 1450, 141-156 (1990).
    • (1990) Lect. Notes Math. , vol.1450 , pp. 141-156
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 19
    • 0001366166 scopus 로고
    • Long range scattering for nonlinear Schrödinger equations in one space dimension
    • T. Ozawa, Long range scattering for nonlinear Schrödinger equations in one space dimension, Commun. Math. Phys., 139, 479-493 (1991).
    • (1991) Commun. Math. Phys. , vol.139 , pp. 479-493
    • Ozawa, T.1
  • 21
    • 0003353148 scopus 로고
    • Nonlinear wave equations
    • Am. Math. Soc., Providence
    • W. Strauss, Nonlinear Wave Equations, CMBS Lecture notes 73, Am. Math. Soc., Providence, 1989.
    • (1989) CMBS Lecture notes , vol.73
    • Strauss, W.1
  • 22
    • 21144470926 scopus 로고
    • Global existence and asymptotic behaviour of solutions for the Maxwell-Schrödinger system in three space dimensions
    • Y. Tsutsumi, Global existence and asymptotic behaviour of solutions for the Maxwell-Schrödinger system in three space dimensions, Commun. Math. Phys., 151, 543-576 (1993).
    • (1993) Commun. Math. Phys. , vol.151 , pp. 543-576
    • Tsutsumi, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.