메뉴 건너뛰기




Volumn 52, Issue 4, 2003, Pages 1365-1377

Sharp Lr asymptotics of the small solutions to the nonlinear Schrödinger equations

Author keywords

Nonlinear scattering; Nonlinear Schr dinger equation; Short range case

Indexed keywords

ASYMPTOTIC STABILITY; INTEGRAL EQUATIONS; THEOREM PROVING;

EID: 0037290556     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00265-1     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 0001240303 scopus 로고
    • Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
    • Barab J. Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation. J. Math. Phys. 25:1984;3270-3273.
    • (1984) J. Math. Phys. , vol.25 , pp. 3270-3273
    • Barab, J.1
  • 2
    • 0002119090 scopus 로고
    • Rapidly decreasing solutions for the nonlinear Schrödinger equation
    • Cazenave T., Weissler F. Rapidly decreasing solutions for the nonlinear Schrödinger equation. Commun. Math. Phys. 147:1992;75-100.
    • (1992) Commun. Math. Phys. , vol.147 , pp. 75-100
    • Cazenave, T.1    Weissler, F.2
  • 4
    • 0001232403 scopus 로고
    • On the existence of the wave operators for a class of nonlinear Schrödinger equations
    • Ginibre J., Ozawa T., Velo G. On the existence of the wave operators for a class of nonlinear Schrödinger equations. Ann. Inst. H. Poincaré Phys. Théor. 60:1994;211-239.
    • (1994) Ann. Inst. H. Poincaré Phys. Théor. , vol.60 , pp. 211-239
    • Ginibre, J.1    Ozawa, T.2    Velo, G.3
  • 5
    • 0002172263 scopus 로고
    • On a class of nonlinear Schrödinger equations I. The Cauchy problem, general case II. Scattering theory, general case
    • Ginibre J., Velo G. On a class of nonlinear Schrödinger equations I. The Cauchy problem, general case II. 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
    • 0000555922 scopus 로고
    • Scattering theory in the energy space for a class of nonlinear Schrödinger equations
    • Ginibre J., Velo G. Scattering theory in the energy space for a class of nonlinear Schrödinger equations. J. Math. Pures Appl. 64:1985;363-401.
    • (1985) J. Math. Pures Appl. , vol.64 , pp. 363-401
    • Ginibre, J.1    Velo, G.2
  • 7
    • 0000462692 scopus 로고    scopus 로고
    • Asymptotics for large time of solutions to the nonlinear Schrödinger and Hatree equations
    • Hayashi N., Naumkin P.I. Asymptotics for large time of solutions to the nonlinear Schrödinger and Hatree equations. Am. J. Math. 120:1998;369-389.
    • (1998) Am. J. Math. , vol.120 , pp. 369-389
    • Hayashi, N.1    Naumkin, P.I.2
  • 9
    • 84975976983 scopus 로고
    • n) -decay of classical solutions for non-linear Schrödinger equations
    • n) -decay of classical solutions for non-linear Schrödinger equations Proc. R. Soc. Edinburgh. 104:1986;309-327.
    • (1986) Proc. R. Soc. Edinburgh , vol.104 , pp. 309-327
    • Hayashi, N.1    Tsutsumi, M.2
  • 11
    • 51649139542 scopus 로고
    • s -solutions and unconditional well-posedness
    • s -solutions and unconditional well-posedness J. Anal. Math. 67:1995;353-367.
    • (1995) J. Anal. Math. , vol.67 , pp. 353-367
    • Kato, T.1
  • 14
    • 0001684804 scopus 로고
    • Non-linear scattering theory at low energy
    • Strauss W.A. Non-linear scattering theory at low energy. J. Funct. Anal. 41:1981;110-133.
    • (1981) J. Funct. Anal. , vol.41 , pp. 110-133
    • Strauss, W.A.1
  • 16
    • 0000237067 scopus 로고
    • 2 solutions for nonlinear Schrödinger equations and nonlinear groups
    • 2 solutions for nonlinear Schrödinger equations and nonlinear groups Funkcialaj Ekvacioj. 30:1987;115-125.
    • (1987) Funkcialaj Ekvacioj , vol.30 , pp. 115-125
    • Tsutsumi, Y.1
  • 17
    • 84968511090 scopus 로고
    • The asymptotic behavior of nonlinear Schrödinger equations
    • Tsutsumi Y., Yajima K. The asymptotic behavior of nonlinear Schrödinger equations. Bull. Am. Math. Soc. 11:1984;186-188.
    • (1984) Bull. Am. Math. Soc. , vol.11 , pp. 186-188
    • Tsutsumi, Y.1    Yajima, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.