Long range scattering for nonlinear Schrödinger equations in one space dimension

Tohru Ozawa

doi:10.1007/bf02101876

Long range scattering for nonlinear Schrödinger equations in one space dimension

Communications in Mathematical Physics ◽

10.1007/bf02101876 ◽

1991 ◽

Vol 139 (3) ◽

pp. 479-493 ◽

Cited By ~ 108

Author(s):

Tohru Ozawa

Keyword(s):

Long Range ◽

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

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Global existence for a class of cubic nonlinear Schrödinger equations in one space dimension

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1350911962 ◽

2001 ◽

Vol 30 (2) ◽

pp. 451-473 ◽

Cited By ~ 11

Author(s):

Satoshi TONEGAWA

Keyword(s):

Global Existence ◽

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

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Global existence of solutions for nonlinear schrödinger equations in one space dimension

Communications in Partial Differential Equations ◽

10.1080/03605309408821079 ◽

1994 ◽

Vol 19 (11-12) ◽

pp. 1971-1997 ◽

Cited By ~ 15

Author(s):

Soichiro Katayama ◽

Yoshio Tsutsumi

Keyword(s):

Global Existence ◽

Space Dimension ◽

Existence Of Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Global Existence Of Solutions ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

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Almost global existence for cubic nonlinear Schrödinger equations in one space dimension

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017089 ◽

2017 ◽

Vol 37 (4) ◽

pp. 2077-2102

Author(s):

Jason Murphy ◽

◽

Fabio Pusateri ◽

Keyword(s):

Global Existence ◽

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

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The initial value problem for nonlinear Schrödinger equations with a dissipative nonlinearity in one space dimension

Journal of Evolution Equations ◽

10.1007/s00028-016-0327-5 ◽

2016 ◽

Vol 16 (4) ◽

pp. 983-995 ◽

Cited By ~ 7

Author(s):

Guangzhi Jin ◽

Yuanfeng Jin ◽

Chunhua Li

Keyword(s):

Initial Value Problem ◽

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Initial Value ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Dissipative Nonlinearity ◽

One Space Dimension

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A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension

Asymptotic Analysis ◽

10.3233/asy-161362 ◽

2016 ◽

Vol 98 (1-2) ◽

pp. 79-90 ◽

Cited By ~ 5

Author(s):

Donghyun Kim

Keyword(s):

Space Dimension ◽

Decay Rates ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

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Corrigendum to "The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension" [Discrete Contin. Dyn. Syst., 36 (2016), 5743–5761]

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020192 ◽

2020 ◽

Vol 40 (7) ◽

pp. 4577-4578

Author(s):

Yuji Sagawa ◽

◽

Hideaki Sunagawa ◽

Keyword(s):

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

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The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016052 ◽

2016 ◽

Vol 36 (10) ◽

pp. 5743-5761 ◽

Cited By ~ 2

Author(s):

Yuji Sagawa ◽

Hideaki Sunagawa

Keyword(s):

Space Dimension ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

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Dissipative nonlinear schrödinger equations for large data in one space dimension

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020044 ◽

2020 ◽

Vol 19 (2) ◽

pp. 967-981 ◽

Cited By ~ 1

Author(s):

Gaku Hoshino ◽

Keyword(s):

Space Dimension ◽

Large Data ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

One Space Dimension

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Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity

SIAM Journal on Mathematical Analysis ◽

10.1137/17m1144829 ◽

2018 ◽

Vol 50 (3) ◽

pp. 3251-3270 ◽

Cited By ~ 2

Author(s):

Satoshi Masaki ◽

Hayato Miyazaki

Keyword(s):

Long Range ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Remarks on long range scattering for nonlinear Schrödinger equations with Stark effects

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250282974 ◽

2005 ◽

Vol 45 (1) ◽

pp. 205-216

Author(s):

Akihiro Shimomura ◽

Satoshi Tonegawa

Keyword(s):

Long Range ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Stark Effects ◽

Nonlinear Schrodinger Equations

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