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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Representation formula for traveling waves to a derivative nonlinear Schrödinger equation with the periodic boundary condition

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain) ◽

10.3934/proc.2015.0878 ◽

2015 ◽

Author(s):

Shoji Yotsutani ◽

Kunimochi Sakamoto ◽

Minoru Murai

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Traveling Waves ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Representation Formula ◽

Nonlinear Schrodinger Equation ◽

Derivative Nonlinear Schrödinger Equation

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Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition

Lecture Notes in Mathematics - Functional-Analytic Methods for Partial Differential Equations ◽

10.1007/bfb0084910 ◽

1990 ◽

pp. 236-251 ◽

Author(s):

Takayoshi Ogawa ◽

Yoshio Tsutsumi

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quartic Potential

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On the Cauchy problem for the derivative nonlinear Schrodinger equation with periodic boundary condition

International Mathematics Research Notices ◽

10.1155/imrn/2006/96763 ◽

2006 ◽

Author(s):

S. Herr

Keyword(s):

Boundary Condition ◽

Cauchy Problem ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Nonlinear Schrodinger Equation ◽

The Cauchy Problem ◽

Derivative Nonlinear Schrödinger Equation

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THE FOCUSING NONLINEAR SCHRÖDINGER EQUATION ON THE QUARTER PLANE WITH TIME-PERIODIC BOUNDARY CONDITION: A RIEMANN–HILBERT APPROACH

Journal of the Institute of Mathematics of Jussieu ◽

10.1017/s1474748007000151 ◽

2007 ◽

Vol 6 (04) ◽

pp. 579 ◽

Author(s):

Anne Boutet de Monvel ◽

Vladimir Kotlyarov

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quarter Plane ◽

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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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On the derivative nonlinear Schrödinger equation on the half line with Robin boundary condition

Journal of Mathematical Physics ◽

10.1063/5.0049337 ◽

2021 ◽

Vol 62 (8) ◽

pp. 081502

Author(s):

Phan Van Tin

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Robin Boundary Condition ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

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