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Volumn 49, Issue 3, 2006, Pages 415-425

Asymptotics in Time of Solutions to Nonlinear SchrOdinger Equations in Two Space Dimensions

Author keywords

Nonlinear Schrodinger equations; Quadratic nonlinearity; Two space dimensions

Indexed keywords


EID: 67349085077     PISSN: 05328721     EISSN: None     Source Type: Journal    
DOI: 10.1619/fesi.49.415     Document Type: Article
Times cited : (9)

References (11)
  • 1
    • 85024445750 scopus 로고    scopus 로고
    • Lower bounds of asymptotics in time of solutions to Nonlinear Schrödinger Equations in 3d
    • Hayashi, N., Kawahara, Y. and Naumkin, P. I., Lower bounds of asymptotics in time of solutions to Nonlinear Schrödinger Equations in 3d, to appear in Cubo. A. Math. J.
    • to appear in Cubo. A. Math. J.
    • Hayashi, N.1    Kawahara, Y.2    Naumkin, P.I.3
  • 2
  • 3
    • 0037290556 scopus 로고    scopus 로고
    • Sharp Lr asymptotics of the small solutions to the nonlinear Schrödinger equations
    • Kita, N., Sharp Lr 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
  • 4
    • 18644373522 scopus 로고    scopus 로고
    • Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations with repulsive interactions
    • Kita, N. and Ozawa, T., Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations with repulsive interactions, Commun. Contemp. Math., 7 (2005), 167–176.
    • (2005) Commun. Contemp. Math. , vol.7 , pp. 167-176
    • Kita, N.1    Ozawa, T.2
  • 5
    • 18644378870 scopus 로고    scopus 로고
    • Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations in one space dimension
    • Kita, N. and Wada, T., Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations in one space dimension, Funkcial. Ekvac., 45 (2002), 53–69.
    • (2002) Funkcial. Ekvac. , vol.45 , pp. 53-69
    • Kita, N.1    Wada, T.2
  • 6
    • 33747019226 scopus 로고    scopus 로고
    • Sharp asymptotics of the small solutions to the nonlinear Schrödinger equations of derivative type
    • Kita, N. and Wada, T., Sharp asymptotics of the small solutions to the nonlinear Schrödinger equations of derivative type, Differential Integral Equations, 15 (2002), 367–384.
    • (2002) Differential Integral Equations , vol.15 , pp. 367-384
    • Kita, N.1    Wada, T.2
  • 7
    • 0442275914 scopus 로고    scopus 로고
    • Wave operators for the nonlinear Schrodinger equation with a nonlinearity of low degree in one or two dimensions
    • Moriyama, K., Tonegawa, S. and Tsutsumi, Y., Wave operators for the nonlinear Schrodinger equation with a nonlinearity of low degree in one or two dimensions, Commun. Contemp. Math., 5 (2003), 983–996.
    • (2003) Commun. Contemp. Math. , vol.5 , pp. 983-996
    • Moriyama, K.1    Tonegawa, S.2    Tsutsumi, Y.3
  • 9
    • 25144509610 scopus 로고    scopus 로고
    • Non-existence of asymptotically free solutions for quadratic nonlinear Schrödinger equations in two space dimensions
    • No. 3
    • Shimomura, A., Non-existence of asymptotically free solutions for quadratic nonlinear Schrödinger equations in two space dimensions, Differential Integral Equations, 18 (2005), No. 3, 325–335.
    • (2005) Differential Integral Equations , vol.18 , pp. 325-335
    • Shimomura, A.1
  • 10
    • 3042518237 scopus 로고    scopus 로고
    • Long range scattering for nonlinear Schrödinger equations in one and two space dimensions
    • Shimomura, A. and Tonegawa, S., Long range scattering for nonlinear Schrödinger equations in one and two space dimensions, Differential Integral Equations, 17 (2004), 127–150.
    • (2004) Differential Integral Equations , vol.17 , pp. 127-150
    • Shimomura, A.1    Tonegawa, S.2
  • 11
    • 0041738946 scopus 로고    scopus 로고
    • Asymptotic expansion of the solution to the nonlinear Schrödinger equation with nonlocal interaction
    • Wada, T., Asymptotic expansion of the solution to the nonlinear Schrödinger equation with nonlocal interaction, J. Funct. Anal., 180 (2001), 11–30.
    • (2001) J. Funct. Anal. , vol.180 , pp. 11-30
    • Wada, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.