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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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

Download Full-text

Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space

Revista Matemática Iberoamericana ◽

10.4171/rmi/1295 ◽

2021 ◽

Author(s):

Benjamin Dodson

Keyword(s):

Initial Data ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Critical Space ◽

Nonlinear Schrödinger ◽

Cubic Nonlinear Schrödinger Equation

Download Full-text

Global Well-posedness for the Defocusing, Quintic Nonlinear Schrödinger Equation in One Dimension for Low Regularity Data

International Mathematics Research Notices ◽

10.1093/imrn/rnr037 ◽

2011 ◽

Vol 2012 (4) ◽

pp. 870-893 ◽

Author(s):

Benjamin G. Dodson

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

One Dimension ◽

Well Posedness ◽

Low Regularity ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

Download Full-text

Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(\mathbb{T}^3)$

Duke Mathematical Journal ◽

10.1215/00127094-1415889 ◽

2011 ◽

Vol 159 (2) ◽

pp. 329-349 ◽

Author(s):

Sebastian Herr ◽

Daniel Tataru ◽

Nikolay Tzvetkov

Keyword(s):

Initial Data ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Small Initial Data ◽

Nonlinear Schrödinger

Download Full-text

Low regularity global well-posedness for the nonlinear Schrödinger equation on closed manifolds

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2010.9.261 ◽

2010 ◽

Vol 9 (2) ◽

pp. 261-280 ◽

Author(s):

Takafumi Akahori ◽

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Low Regularity ◽

Nonlinear Schrödinger

Download Full-text