Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

Annales Scientifiques de l École Normale Supérieure ◽

10.1016/j.ansens.2004.11.003 ◽

2005 ◽

Vol 38 (2) ◽

pp. 255-301 ◽

Author(s):

N BURQ ◽

P GERARD ◽

N TZVETKOV

Keyword(s):

Global Existence ◽

Three Dimensional ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Eigenfunction Estimates

Download Full-text

Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.626099 ◽

2012 ◽

Vol 37 (4) ◽

pp. 732-752 ◽

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Global Existence ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text

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 ◽

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

Download Full-text

Sharp condition of global existence for second-order derivative nonlinear Schrödinger equations in two space dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.03.055 ◽

2007 ◽

Vol 326 (2) ◽

pp. 1001-1006 ◽

Author(s):

Ji Shu ◽

Jian Zhang

Keyword(s):

Global Existence ◽

Second Order ◽

Nonlinear Schrödinger Equations ◽

Order Derivative ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Sharp Condition ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Two Space Dimensions

Download Full-text

Global existence for a system of weakly coupled nonlinear Schrödinger equations

Mathematical Notes ◽

10.1134/s0001434609110078 ◽

2009 ◽

Vol 86 (5-6) ◽

pp. 650-654 ◽

Author(s):

J. Shu ◽

J. Zhang

Keyword(s):

Global Existence ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Weakly Coupled ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

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 ◽

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

Download Full-text

Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrödinger equations with variable coefficients

Journal of the Optical Society of America B ◽

10.1364/josab.30.000113 ◽

2012 ◽

Vol 30 (1) ◽

pp. 113 ◽

Author(s):

Si-Liu Xu ◽

Milivoj R. Belić ◽

Wei-Ping Zhong

Keyword(s):

Solitary Waves ◽

Three Dimensional ◽

Variable Coefficients ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

Global existence for 2D nonlinear Schrödinger equations via high–low frequency decomposition method

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.12.056 ◽

2006 ◽

Vol 324 (2) ◽

pp. 882-907 ◽

Author(s):

Cuihua Guo ◽

Shangbin Cui

Keyword(s):

Global Existence ◽

Decomposition Method ◽

Low Frequency ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Frequency Decomposition ◽

Nonlinear Schrodinger Equations

Download Full-text

Publisher's Note: Exact solutions to three-dimensional generalized nonlinear Schrödinger equations with varying potential and nonlinearities [Phys. Rev. E80, 036607 (2009)]

Physical Review E ◽

10.1103/physreve.80.049903 ◽

2009 ◽

Vol 80 (4) ◽

Author(s):

Zhenya Yan ◽

V. V. Konotop

Keyword(s):

Exact Solutions ◽

Three Dimensional ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text

Exact solutions to three-dimensional generalized nonlinear Schrödinger equations with varying potential and nonlinearities

Physical Review E ◽

10.1103/physreve.80.036607 ◽

2009 ◽

Vol 80 (3) ◽

Author(s):

Zhenya Yan ◽

V. V. Konotop

Keyword(s):

Exact Solutions ◽

Three Dimensional ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text

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

Download Full-text