Asymptotic behavior for large time of solutions to the nonlinear nonlocal Schrödinger equation on half-line

SUT Journal of Mathematics

Volumn 35, Issue 1, 1999, Pages 37-79

  Kaikina, Elena I ^a   Naumkin, Pavel I ^b   Shishmarev, Ilya A ^c  

^a INSTITUTO TECNOLÓGICO DE MORELIA   (Mexico)

^b UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Large time asymptotics; Nonlinear nonlocal schr dinger equation

Indexed keywords

EID: 0008407604     PISSN: 09165746     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

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3. N. Hayashi, K. Nakamitsu and M. Tsutsumi, On solutions of the initial value problem for nonlinear Schrödinger equations, J. Funct. Anal. 71 (1987), 218-245.
4. E.I. Kaikina, The Cauchy problem for the nonlocal Schrödinger equation. I, II, Mat. Modelirovanie 3 (11) (1991), 83-108.
5. P.I. Naumkin and I.A. Shishmarev, Nonlinear Nonlocal Equations in the Theory of Waves, Translations of Monographs, vol. 133, A.M.S., Providence, R.I., 1994.
6. I.A. Shishmarev, M. Tsutsumi and E.I. Kaikina, Asymptotics in time for the nonlinear nonlocal Schrödinger equations with a source, J. Math. Soc. Japan 51 (1999), 463-484.
7. V.S. Vladimirov, Equations of Mathematical Physics, Moscow, Nauka, 1976