Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2009.03.004 ◽

2009 ◽

Vol 26 (6) ◽

pp. 2253-2281 ◽

Author(s):

Baoxiang Wang ◽

Lijia Han ◽

Chunyan Huang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Well-posedness for a generalized derivative nonlinear Schrödinger equation

Journal of Differential Equations ◽

10.1016/j.jde.2016.08.018 ◽

2016 ◽

Vol 261 (10) ◽

pp. 5424-5445 ◽

Author(s):

Masayuki Hayashi ◽

Tohru Ozawa

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Global well-posedness on the derivative nonlinear Schrödinger equation

Analysis & PDE ◽

10.2140/apde.2015.8.1101 ◽

2015 ◽

Vol 8 (5) ◽

pp. 1101-1112 ◽

Author(s):

Yifei Wu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Local well-posedness for the nonlocal derivative nonlinear Schrödinger equation in Besov spaces

Nonlinear Analysis ◽

10.1016/j.na.2019.05.005 ◽

2019 ◽

Vol 187 ◽

pp. 320-338

Author(s):

Vanessa Barros ◽

Roger de Moura ◽

Gleison Santos

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Besov Spaces ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2016.10.003 ◽

2017 ◽

Vol 34 (5) ◽

pp. 1273-1297 ◽

Author(s):

Jaywan Chung ◽

Zihua Guo ◽

Soonsik Kwon ◽

Tadahiro Oh

Keyword(s):

Normal Form ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

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A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle

Comptes Rendus Mathematique ◽

10.1016/j.crma.2015.06.015 ◽

2015 ◽

Vol 353 (9) ◽

pp. 837-841 ◽

Author(s):

Razvan Mosincat ◽

Tadahiro Oh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Local well-posedness for the derivative nonlinear Schrödinger Equation in Besov Spaces

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1550480650 ◽

2019 ◽

Vol 48 (1) ◽

pp. 207-244

Author(s):

Cai Constantin CLOOS

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Besov Spaces ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Optimal Local Well-Posedness for the Periodic Derivative Nonlinear Schrödinger Equation

Communications in Mathematical Physics ◽

10.1007/s00220-020-03898-8 ◽

2020 ◽

Author(s):

Yu Deng ◽

Andrea R. Nahmod ◽

Haitian Yue

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Low Regularity Local Well-Posedness of the Derivative Nonlinear Schrödinger Equation with Periodic Initial Data

SIAM Journal on Mathematical Analysis ◽

10.1137/070689139 ◽

2008 ◽

Vol 39 (6) ◽

pp. 1890-1920 ◽

Author(s):

Axel Grünrock ◽

Sebastian Herr

Keyword(s):

Initial Data ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Low Regularity ◽

Nonlinear Schrödinger ◽

Periodic Initial Data ◽

Derivative Nonlinear Schrödinger Equation

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Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in H12

Journal of Differential Equations ◽

10.1016/j.jde.2017.05.026 ◽

2017 ◽

Vol 263 (8) ◽

pp. 4658-4722 ◽

Author(s):

Razvan Mosincat

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Global well-posedness for the derivative nonlinear Schrödinger equation in $H^{\frac 12} (\mathbb{R} )$

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017010 ◽

2017 ◽

Vol 37 (1) ◽

pp. 257-264 ◽

Author(s):

Zihua Guo ◽

◽

Yifei Wu ◽

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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