Global existence for a coupled system of Schrödinger equations with power-type nonlinearities

Nghiem V. Nguyen; Rushun Tian; Bernard Deconinck; Natalie Sheils

doi:10.1063/1.4774149

Global existence for a coupled system of Schrödinger equations with power-type nonlinearities

Journal of Mathematical Physics ◽

10.1063/1.4774149 ◽

2013 ◽

Vol 54 (1) ◽

pp. 011503 ◽

Cited By ~ 27

Author(s):

Nghiem V. Nguyen ◽

Rushun Tian ◽

Bernard Deconinck ◽

Natalie Sheils

Keyword(s):

Global Existence ◽

Coupled System ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Power Type

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Global existence and asymptotic behavior of the Cauchy problem for fourth-order Schrödinger equations with combined power-type nonlinearities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.03.028 ◽

2012 ◽

Vol 392 (2) ◽

pp. 111-122 ◽

Cited By ~ 2

Author(s):

Cuihua Guo

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Fourth Order ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Power Type ◽

The Cauchy Problem

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Sharp conditions of global existence for second-order derivative nonlinear Schrödinger equations with combined power-type nonlinearities

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201200083 ◽

2012 ◽

Vol 93 (1) ◽

pp. 29-37 ◽

Cited By ~ 3

Author(s):

Runzhang Xu ◽

Chuang Xu

Keyword(s):

Global Existence ◽

Second Order ◽

Nonlinear Schrödinger Equations ◽

Order Derivative ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Power Type ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Erratum to “Sharp thresholds of global existence and blowup for a system of Schrödinger equations with combined power-type nonlinearities” [J. Math. Phys. 51, 033509 (2010)]

Journal of Mathematical Physics ◽

10.1063/1.3478296 ◽

2010 ◽

Vol 51 (10) ◽

pp. 109901

Author(s):

Xianfa Song

Keyword(s):

Global Existence ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Power Type ◽

Math Phys ◽

Sharp Thresholds

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Ground state solutions for planar coupled system involving nonlinear Schrödinger equations with critical exponential growth

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7335 ◽

2021 ◽

Author(s):

Jiuyang Wei ◽

Xiaoyan Lin ◽

Xianhua Tang

Keyword(s):

Ground State ◽

Exponential Growth ◽

Coupled System ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Critical Exponential Growth

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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 ◽

Cited By ~ 3

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

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Self-similar solutions for a coupled system of nonlinear Schrodinger equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/25/9/034 ◽

1992 ◽

Vol 25 (9) ◽

pp. 2649-2667 ◽

Cited By ~ 20

Author(s):

L Gagnon

Keyword(s):

Coupled System ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Self Similar ◽

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 and uniform decay for the coupled Klein–Gordon–Schrödinger equations with non-linear boundary damping and memory term

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.673 ◽

2006 ◽

Vol 29 (9) ◽

pp. 947-964 ◽

Cited By ~ 2

Author(s):

Jong Yeoul Park ◽

Joung Ae Kim

Keyword(s):

Global Existence ◽

Memory Term ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Linear Boundary ◽

Uniform Decay ◽

Boundary Damping ◽

Non Linear ◽

Klein Gordon

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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 ◽

Cited By ~ 5

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

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Global existence for a system of weakly coupled nonlinear Schrödinger equations

Mathematical Notes ◽

10.1134/s0001434609110078 ◽

2009 ◽

Vol 86 (5-6) ◽

pp. 650-654 ◽

Cited By ~ 1

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

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