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Volumn 27, Issue 3-4, 1998, Pages 483-497

On the Scattering in Gevrey Classes for the Subcriticai Hartree and Schrödinger Equations

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EID: 0000326517     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (14)
  • 1
    • 0141973496 scopus 로고
    • An Introduction to Nonlinear Schrödinger Equations
    • 22 Univ. Federal do Rio de Janeiro, Instituto de Mathematica
    • T. CAZENAVE, "An Introduction to Nonlinear Schrödinger Equations", Textos de Métodos Mathemáticos, 22 Univ. Federal do Rio de Janeiro, Instituto de Mathematica, 1989.
    • (1989) Textos de Métodos Mathemáticos
    • CAZENAVE, T.1
  • 2
    • 23244446904 scopus 로고
    • The Cauchyproblemfor the critical nonlinear Schrödinger equation in H
    • T . C A Z E N A V E - F . B . WEISSLER, The Cauchyproblemfor the critical nonlinear Schrödinger equation in H\ NonUnear Anal. 14 (1990), 807-836.
    • (1990) NonUnear Anal , vol.14 , pp. 807-836
    • WEISSLER, T . C A Z E N A V E - F . B .1
  • 3
    • 0039095104 scopus 로고
    • Global solvability for the degenerate Kirchhoff equation with real analytic data
    • P. D'ANCONA - S. SPAGNOLO, Global solvability for the degenerate Kirchhoff equation with real analytic data. Invent. Math. 108 (1992), 253-277.
    • (1992) Invent. Math , vol.108 , pp. 253-277
    • D'ANCONA, P.1    SPAGNOLO, S.2
  • 4
    • 0001632973 scopus 로고
    • Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension n > 2
    • J. GiNiBRE - T. OzAWA, Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension n > 2, Comm. Math. Phys. 151 (1993), 619-645.
    • (1993) Comm. Math. Phys , vol.151 , pp. 619-645
    • GiNiBRE, J.1    OzAWA, T.2
  • 5
    • 0002172263 scopus 로고
    • On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case; IL Scattering theory, general case
    • J. GiNiBRE - G . VELO, On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case; IL Scattering theory, general case, J. Funct. Anal. 32 (1979), 1-71.
    • (1979) J. Funct. Anal , vol.32 , pp. 1-71
    • GiNiBRE, J.1    VELO, G .2
  • 6
    • 0001634292 scopus 로고    scopus 로고
    • On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension
    • N H A Y A S H I E K A I K I N A P I N A U M K I N
    • N . H A Y A S H I - E . K A I K I N A - P . I . N A U M K I N, On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension, Hokkaido Univ. Math. J. 27 (1998), 651-667.
    • (1998) Hokkaido Univ. Math. J , vol.27 , pp. 651-667
  • 7
    • 0007211645 scopus 로고    scopus 로고
    • Global existence of small analytic solutions to Schrödinger equations with quadratic nonlinearity
    • N . HAYASHI - K . KATO, Global existence of small analytic solutions to Schrödinger equations with quadratic nonlinearity. Comm. Partial Differential Equations 22 (1997), 773-798.
    • (1997) Comm. Partial Differential Equations , vol.22 , pp. 773-798
    • HAYASHI, N .1    KATO, K .2
  • 8
    • 0000462692 scopus 로고    scopus 로고
    • P. I . ^K\]MYim,Asymptoticsinlargetimeofsolutions to nonlinear Schrödinger and Hartree equations
    • N. HAYASHI - P. I . ^K\]MYim,Asymptoticsinlargetimeofsolutions to nonlinear Schrödinger and Hartree equations. Amer. J. Math. 120 (1998), 369-389.
    • (1998) Amer. J. Math , vol.120 , pp. 369-389
    • HAYASHI, N.1
  • 10
    • 0001529861 scopus 로고
    • Scattering theory in the weighted L1 (] R ") spaces for some Schrödinger equations
    • N . HAYASHI - T . OZAWA, Scattering theory in the weighted L1 (] R ") spaces for some Schrödinger equations, Ann. Inst. H. Poincaré Phys. Théor. 48 (1988), 17-37.
    • (1988) Ann. Inst. H. Poincaré Phys. Théor , vol.48 , pp. 17-37
    • HAYASHI, N .1    OZAWA, T .2
  • 11
    • 0040768214 scopus 로고
    • The Cauchy problem for Hartree type Schrödinger equation in weighted Sobolev space
    • H . HIRATA, The Cauchy problem for Hartree type Schrödinger equation in weighted Sobolev space, J. Faculty of Science, Univ. Tokyo, Sec lA 38 (1988), 567-588.
    • (1988) J. Faculty of Science, Univ. Tokyo, Sec lA , vol.38 , pp. 567-588
    • HIRATA, H .1
  • 13
    • 33646925437 scopus 로고    scopus 로고
    • Asymptoticsfor large time ofsolutions to nonlinear Schrödinger equation
    • P. I . NAUMKIN, Asymptoticsfor large time ofsolutions to nonlinear Schrödinger equation, Izvestia 61, n° 4 (1997), 81-118.
    • (1997) Izvestia , vol.61 , Issue.4 , pp. 81-118
    • NAUMKIN, P. I .1
  • 14
    • 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. Comm. Math. Phys. 139 (1991), 479-493.
    • (1991) Comm. Math. Phys , vol.139 , pp. 479-493
    • OzAWA, T.1


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