메뉴 건너뛰기




Volumn 7, Issue 2, 2005, Pages 167-176

Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations with repulsive interactions

Author keywords

Asympototic behavior of the solution; Nonlinear Schr dinger equation

Indexed keywords


EID: 18644373522     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199705001696     Document Type: Article
Times cited : (6)

References (21)
  • 3
    • 0002119090 scopus 로고
    • Rapidly decaying solutions of the nonlinear Schrödinger equation
    • T. Cazenave and F. B. Weissler, Rapidly decaying solutions of 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.B.2
  • 4
    • 0040653555 scopus 로고
    • On the initial value problem for a nonlinear Schrödinger equation
    • G. C. Dong and S. Li, On the initial value problem for a nonlinear Schrödinger equation, J. Differential Equations 42 (1981) 353-365.
    • (1981) J. Differential Equations , vol.42 , pp. 353-365
    • Dong, G.C.1    Li, S.2
  • 5
    • 0002092503 scopus 로고    scopus 로고
    • An introduction to nonlinear Schrödinger equations
    • eds. R. Agemi, Y. Giga and T. Ozawa, GAKUTO International Series, Mathematical Sciences and Applications (Gakkōtosho, Tokyo)
    • J. Ginibre, An introduction to nonlinear Schrödinger equations, in Nonlinear Waves eds. R. Agemi, Y. Giga and T. Ozawa, GAKUTO International Series, Mathematical Sciences and Applications, Vol. 10 (Gakkōtosho, Tokyo, 1997).
    • (1997) Nonlinear Waves , vol.10
    • Ginibre, J.1
  • 7
    • 0001232403 scopus 로고
    • On the existence of the wave operators for a class of nonlinear Schrödinger equations
    • J. Ginibre, T. Ozawa and G. Velo, On the existence of the wave operators for a class of nonlinear Schrödinger equations, Ann. Inst. Henri Poincaré, Phys. Théor. 60 (1994) 211-239.
    • (1994) Ann. Inst. Henri Poincaré, Phys. Théor. , vol.60 , pp. 211-239
    • Ginibre, J.1    Ozawa, T.2    Velo, G.3
  • 8
    • 49249148441 scopus 로고
    • On a class of nonlinear Schrödinger equations, I. The Cauchy problem, II. Scattering theory
    • J. Ginibre and G. Velo, On a class of nonlinear Schrödinger equations, I. The Cauchy problem, II. Scattering theory, J. Funct. Anal. 32 (1979) 1-71.
    • (1979) J. Funct. Anal. , vol.32 , pp. 1-71
    • Ginibre, J.1    Velo, G.2
  • 9
    • 0000555922 scopus 로고
    • Scattering theory in the energy space for a class of nonlinear Schrödinger equations
    • _, 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
  • 12
    • 0000818765 scopus 로고
    • Nonlinear Schrödinger equations
    • eds. H. Holden and A. Jensen, Lecture Notes in Physics, (Springer, Berlin, Heidelberg, New York)
    • T. Kato, Nonlinear Schrödinger equations, in Schrödinger Operators, eds. H. Holden and A. Jensen, Lecture Notes in Physics, Vol. 345 (Springer, Berlin, Heidelberg, New York, 1989), pp. 218-263.
    • (1989) Schrödinger Operators , vol.345 , pp. 218-263
    • Kato, T.1
  • 13
    • 0037290556 scopus 로고    scopus 로고
    • τ asymptotics of the small solutions to the nonlinear Schrödinger equations
    • τ asymptotics of the small solutions to the nonlinear Schrödinger equations, Nonlinear Anal. 52 (2003) 1365-1377.
    • (2003) Nonlinear Anal. , vol.52 , pp. 1365-1377
    • Kita, N.1
  • 14
    • 18644378870 scopus 로고    scopus 로고
    • Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations in one space dimension
    • N. Kita and T. Wada, Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations in one space dimension, Funkcialaj Ekvacioj 45 (2002) 53-69.
    • (2002) Funkcialaj Ekvacioj , vol.45 , pp. 53-69
    • Kita, N.1    Wada, T.2
  • 15
    • 0346386030 scopus 로고    scopus 로고
    • Remarks on scattering for nonlinear Schrödinger equations
    • K. Nakanishi and T. Ozawa, Remarks on scattering for nonlinear Schrödinger equations, NoDEA 9 (2002) 45-68.
    • (2002) NoDEA , vol.9 , pp. 45-68
    • Nakanishi, K.1    Ozawa, T.2
  • 16
    • 0001805473 scopus 로고
    • Everywhere defined wave operators
    • Academic Press, New York
    • W. A. Strauss, Everywhere defined wave operators, in Nonlinear Evolution Equations (Academic Press, New York, 1978), pp. 85-102.
    • (1978) Nonlinear Evolution Equations , pp. 85-102
    • Strauss, W.A.1
  • 17
    • 0001684804 scopus 로고
    • Nonlinear scattering at low energy
    • _, Nonlinear scattering at low energy, J. Funct. Anal. 41 (1981) 110-133.
    • (1981) J. Funct. Anal. , vol.41 , pp. 110-133
  • 18
    • 18644366930 scopus 로고
    • CBMS Regional Conference Series in Mathematics (American Mathematical Society, Providence)
    • _, Nonlinear Wave Equations, CBMS Regional Conference Series in Mathematics, Vol. 73 (American Mathematical Society, Providence, 1989).
    • (1989) Nonlinear Wave Equations , vol.73
  • 20
    • 0001270511 scopus 로고
    • Scattering problem for nonlinear Schrödinger equations
    • Y. Tsutsumi, Scattering problem for nonlinear Schrödinger equations, Ann. Inst. Henri Poincaré, Phys. Théor. 43 (1985) 321-347.
    • (1985) Ann. Inst. Henri Poincaré, Phys. Théor. , vol.43 , pp. 321-347
    • Tsutsumi, Y.1
  • 21
    • 0000483491 scopus 로고
    • Existence of solutions for Schr̈dinger evolution equations
    • K. Yajima, Existence of solutions for Schr̈dinger evolution equations, Commun. Math. Phys. 110 (1987) 415-426.
    • (1987) Commun. Math. Phys. , vol.110 , pp. 415-426
    • Yajima, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.