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Volumn 32, Issue , 2001, Pages 105-118

La stabilità asintotica dei ground states della NLS

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EID: 85046739115     PISSN: 00494704     EISSN: 24648728     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (37)
  • 1
    • 0000817006 scopus 로고
    • Instabilité des états stationnaires des les équations de Schrödinger et de Klein Gordon non linéaires
    • H. Berestycki and T. Cazenave, Instabilité des états stationnaires des les équations de Schrödinger et de Klein Gordon non linéaires, C. R. Acad. Sci. Paris 293 (1981), 489-492
    • (1981) C. R. Acad. Sci. Paris , vol.293 , pp. 489-492
    • Berestycki, H.1    Cazenave, T.2
  • 2
    • 0002779183 scopus 로고    scopus 로고
    • On the stability of solitary waves for nonlinear Schrödinger equations, Nonlinear evolution equations
    • Amer. Math. Soc
    • V.S. Buslaev and G.S. Perelman, On the stability of solitary waves for nonlinear Schrödinger equations, Nonlinear evolution equations, Transl. Ser. 2, vol. 164, Amer. Math. Soc., pp. 75-98
    • Transl. Ser. 2 , vol.164 , pp. 75-98
    • Buslaev, V.S.1    Perelman, G.S.2
  • 3
    • 0000073733 scopus 로고
    • Scattering for the nonlinear Schrödinger equation: states close to a soliton
    • V.S. Buslaev and G.S. Perelman, Scattering for the nonlinear Schrödinger equation: states close to a soliton, St. Petersburg Math. J. 4 (1993), 1111-1142
    • (1993) St. Petersburg Math. J , vol.4 , pp. 1111-1142
    • Buslaev, V.S.1    Perelman, G.S.2
  • 4
    • 0039683992 scopus 로고
    • Stable solutions of the logarithmic Schrödinger equations
    • T. Cazenave, Stable solutions of the logarithmic Schrödinger equations, Nonlin. Anal. T. M. A. 7 (1983), 1127-1140
    • (1983) Nonlin. Anal. T. M. A , vol.7 , pp. 1127-1140
    • Cazenave, T.1
  • 6
    • 0000090159 scopus 로고
    • Orbital stability of standing waves for nonlinear Schrödinger equations
    • T. Cazenave and P.L. Lions, Orbital stability of standing waves for nonlinear Schrödinger equations, Comm. Math. Phys. 85 (1982), 549-561
    • (1982) Comm. Math. Phys , vol.85 , pp. 549-561
    • Cazenave, T.1    Lions, P.L.2
  • 10
    • 0000468151 scopus 로고
    • Stability of solitary waves in the presence of symmetries
    • M. Grillakis, J. Shatah, and W. Strauss, Stability of solitary waves in the presence of symmetries, I, Jour. Funct. An. 74 (1987), 160-197
    • (1987) I, Jour. Funct. An , vol.74 , pp. 160-197
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 11
    • 29444432472 scopus 로고
    • Stability of solitary waves in the presence of symmetries
    • M. Grillakis, J. Shatah, and W. Strauss, Stability of solitary waves in the presence of symmetries, II, Jour. Funct. An. 94 (1990), 308-348
    • (1990) II, Jour. Funct. An , vol.94 , pp. 308-348
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 12
    • 84972562665 scopus 로고
    • Spectral properties of Schrödinger operators and time decay of the wave functions. Results in L2(Rm, m ≥ 5
    • A. Jensen, Spectral properties of Schrödinger operators and time decay of the wave functions. Results in L2(Rm), m ≥ 5, Duke Math. J. 47 (1980), 57-80
    • (1980) Duke Math. J , vol.47 , pp. 57-80
    • Jensen, A.1
  • 13
    • 0021468721 scopus 로고
    • Spectral properties of Schrödinger operators and time decay of the wave functions. Results in L2(R4)
    • A. Jensen, Spectral properties of Schrödinger operators and time decay of the wave functions. Results in L2(R4), Jour. Math. An. Applic. 101 (1984), 397-422
    • (1984) Jour. Math. An. Applic , vol.101 , pp. 397-422
    • Jensen, A.1
  • 14
    • 0001016945 scopus 로고
    • Results in Lp(Rd) for the Schrödinger equation with a time dependent potential
    • A. Jensen, Results in Lp(Rd) for the Schrödinger equation with a time dependent potential, Math. Annalen 299 (1994), 117-125
    • (1994) Math. Annalen , vol.299 , pp. 117-125
    • Jensen, A.1
  • 15
    • 84972568716 scopus 로고
    • Spectral properties of Schrödinger operators and time decay of the wave functions
    • A. Jensen and T.Kato, Spectral properties of Schrödinger operators and time decay of the wave functions, Duke Math. J. 46 (1979), 583-611
    • (1979) Duke Math. J , vol.46 , pp. 583-611
    • Jensen, A.1    Kato, T.2
  • 16
    • 84990619685 scopus 로고
    • Decay estimates for Schrödinger operators
    • J.L. Journe, A. Soffer, and C.D. Sogge, Decay estimates for Schrödinger operators, Comm. P. Appl. Mat. 44 (1991), 573-604
    • (1991) Comm. P. Appl. Mat , vol.44 , pp. 573-604
    • Journe, J.L.1    Soffer, A.2    Sogge, C.D.3
  • 17
    • 84980081672 scopus 로고
    • Growth properties of solutions of the reduced wave equation with a variable coefficient
    • T. Kato, Growth properties of solutions of the reduced wave equation with a variable coefficient, Comm. Math. P. Appl. 12 (1959), 403-425
    • (1959) Comm. Math. P. Appl , vol.12 , pp. 403-425
    • Kato, T.1
  • 18
    • 0000570999 scopus 로고
    • Wave operators and similarity for some non-selfadjoint operators
    • T. Kato, Wave operators and similarity for some non-selfadjoint operators, Math. Annalen 162 (1966), 258-269
    • (1966) Math. Annalen , vol.162 , pp. 258-269
    • Kato, T.1
  • 19
    • 0000041774 scopus 로고
    • Uniqueness of positive radial solutions of du+f(u) = 0 in Rn
    • K. McLeod, Uniqueness of positive radial solutions of du+f(u) = 0 in Rn, Trans. Am. Math. Soc. (1993)
    • (1993) Trans. Am. Math. Soc
    • McLeod, K.1
  • 20
    • 0002087150 scopus 로고
    • Asymptotic expansions in time for solutions of Schrödinger type equations
    • M. Murata, Asymptotic expansions in time for solutions of Schrödinger type equations, J. Funct. Anal. 49 (1982), 10-56
    • (1982) J. Funct. Anal , vol.49 , pp. 10-56
    • Murata, M.1
  • 21
    • 0001322178 scopus 로고    scopus 로고
    • Invariant manifolds for a class of dispersive Hamiltonian partial differential equations
    • C.A. Pillet and C.E. Wayne, Invariant manifolds for a class of dispersive, Hamiltonian partial differential equations, J. Diff. Eq. 141 (1997), 310-326
    • (1997) J. Diff. Eq , vol.141 , pp. 310-326
    • Pillet, C.A.1    Wayne, C.E.2
  • 23
    • 85046752443 scopus 로고    scopus 로고
    • Ph.D. thesis
    • J. Shatah, Ph.D. thesis
    • Shatah, J.1
  • 24
    • 0000229397 scopus 로고
    • Stable standing waves of nonlinear Klein Gordon equations
    • J. Shatah, Stable standing waves of nonlinear Klein Gordon equations, Comm. Math. Phys. 91 (1985), 313-327
    • (1985) Comm. Math. Phys , vol.91 , pp. 313-327
    • Shatah, J.1
  • 25
    • 0001420204 scopus 로고
    • Instability of nonlinear bound states
    • J. Shatah and W. Strauss, Instability of nonlinear bound states, Comm. Math. Phys. 100 (1985), 173-190
    • (1985) Comm. Math. Phys , vol.100 , pp. 173-190
    • Shatah, J.1    Strauss, W.2
  • 26
    • 0000301325 scopus 로고
    • Multichannel nonlinear scattering for nonintegrable equations
    • A. Soffer and M. Weinstein, Multichannel nonlinear scattering for nonintegrable equations, Comm. Math. Phys. 133 (1990), 116-146
    • (1990) Comm. Math. Phys , vol.133 , pp. 116-146
    • Soffer, A.1    Weinstein, M.2
  • 27
    • 0001641727 scopus 로고
    • Multichannel nonlinear scattering II. The case of anisotropic potentials and data
    • A. Soffer and M. Weinstein, Multichannel nonlinear scattering II. The case of anisotropic potentials and data, J. Diff. Eq. 98 (1992), 376-390
    • (1992) J. Diff. Eq , vol.98 , pp. 376-390
    • Soffer, A.1    Weinstein, M.2
  • 29
    • 0033235140 scopus 로고    scopus 로고
    • k, p continuity of the Schrödinger wave operators on the line
    • k, p continuity of the Schrödinger wave operators on the line, Comm. Math. Phys. 208 (1999), 507-520
    • (1999) Comm. Math. Phys , vol.208 , pp. 507-520
    • Weder, R.1
  • 30
    • 0033460613 scopus 로고    scopus 로고
    • Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
    • A. Soffer M. Weinstein, Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations, Invent. Math. 136 (1999), 9-74
    • (1999) Invent. Math , vol.136 , pp. 9-74
    • Soffer, A.1    Weinstein, M.2
  • 31
    • 0000686130 scopus 로고
    • Modulation stability of ground states of nonlinear Schrödinger equations
    • M. Weinstein, Modulation stability of ground states of nonlinear Schrödinger equations, Siam J. Math. Anal. 16 (1985), 472-491
    • (1985) Siam J. Math. Anal , vol.16 , pp. 472-491
    • Weinstein, M.1
  • 32
    • 84990553584 scopus 로고
    • Lyapunov stability of ground states of nonlinear dispersive equations
    • M. Weinstein, Lyapunov stability of ground states of nonlinear dispersive equations, Comm. Pure Appl. Math. 39 (1986), 51-68
    • (1986) Comm. Pure Appl. Math , vol.39 , pp. 51-68
    • Weinstein, M.1
  • 33
    • 22244488372 scopus 로고    scopus 로고
    • Asymptotic stability of nonlinear bound states in conservative dispersive systems
    • M. Weinstein, Asymptotic stability of nonlinear bound states in conservative dispersive systems, Contemporary Math. 200 (1996), 223-235
    • (1996) Contemporary Math , vol.200 , pp. 223-235
    • Weinstein, M.1
  • 34
    • 0002283169 scopus 로고    scopus 로고
    • p' estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
    • p' estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential, J. Funct. Anal. 170 (2000), 37-68
    • (2000) J. Funct. Anal , vol.170 , pp. 37-68
    • Weinstein, M.1
  • 35
    • 84972559697 scopus 로고
    • k, p continuity of wave operators for Schrödinger operators
    • k, p continuity of wave operators for Schrödinger operators, J. Math. Soc. Japan 47 (1995), 551-581
    • (1995) J. Math. Soc. Japan , vol.47 , pp. 551-581
    • Yajima, K.1
  • 36
    • 0001604108 scopus 로고
    • k, p continuity of wave operators for Schrödinger operators II, even dimensional case m = 4
    • k, p continuity of wave operators for Schrödinger operators III, even dimensional case m = 4, J. Math. Sci. Univ. Tokyo 2 (1995), 311-346
    • (1995) J. Math. Sci. Univ. Tokyo , vol.2 , pp. 311-346
    • Yajima, K.1
  • 37
    • 0033235580 scopus 로고    scopus 로고
    • The Lp boundedness of wave operators for two dimensional Schrödinger operators
    • K. Yajima, The Lp boundedness of wave operators for two dimensional Schrödinger operators, Comm. Math. Phys. 208 (1999), 125-152
    • (1999) Comm. Math. Phys , vol.208 , pp. 125-152
    • Yajima, K.1


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