`a`
Related Articles
1

Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect

Communications on Pure and Applied Analysis  Volume 16, Issue 4, Pages : 1233 - 1252, 2017

Wided Kechiche - (email)

 Abstract       References       Full Text      Related Articles

2

The energy-critical NLS with inverse-square potential

Discrete and Continuous Dynamical Systems  Volume 37, Issue 7, Pages : 3831 - 3866, 2017

Rowan Killip - (email), Changxing Miao - (email), Monica Visan - (email), Junyong Zhang - (email), Jiqiang Zheng - (email)

 Abstract       References       Full Text      Related Articles

3

Least energy solutions for nonlinear Schrödinger equation involving the fractional Laplacian and critical growth

Discrete and Continuous Dynamical Systems  Volume 37, Issue 7, Pages : 3963 - 3987, 2017

Miaomiao Niu - (email), Zhongwei Tang - (email)

 Abstract       References       Full Text      Related Articles

4

Invariant measures for complex-valued dissipative dynamical systems and applications

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2427 - 2446, 2017

Xin Li - (email), Wenxian Shen - (email), Chunyou Sun - (email)

 Abstract       References       Full Text      Related Articles

5

Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in $\mathbb{R}^N$ involving fractional Laplacian

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2653 - 2668, 2017

Alexander Quaas - (email), Aliang Xia - (email)

 Abstract       References       Full Text      Related Articles

6

Multiple positive standing wave solutions for Schrödinger equations with oscillating state-dependent potentials

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 953 - 972, 2017

Renata Bunoiu - (email), Radu Precup - (email), Csaba Varga - (email)

 Abstract       References       Full Text      Related Articles

7

Global dynamics of solutions with group invariance for the nonlinear Schrödinger equation

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 557 - 590, 2017

Takahisa Inui - (email)

 Abstract       References       Full Text      Related Articles

8

Modified energy functionals and the NLS approximation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1295 - 1321, 2016

Patrick Cummings - (email), C. Eugene Wayne - (email)

 Abstract       References       Full Text      Related Articles

9

Asymptotic properties of standing waves for mass subcritical nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1749 - 1762, 2016

Xiaoyu Zeng - (email)

 Abstract       References       Full Text      Related Articles

10

Infinitely many solutions for a nonlinear Schrödinger equation with non-symmetric electromagnetic fields

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7081 - 7115, 2016

Weiming Liu - (email), Chunhua Wang - (email)

 Abstract       References       Full Text      Related Articles

11

Global dynamics above the ground state for the energy-critical Schrödinger equation with radial data

Communications on Pure and Applied Analysis  Volume 15, Issue 6, Pages : 2023 - 2058, 2016

Kenji Nakanishi - (email), Tristan Roy - (email)

 Abstract       References       Full Text      Related Articles

12

Scattering for a nonlinear Schrödinger equation with a potential

Communications on Pure and Applied Analysis  Volume 15, Issue 5, Pages : 1571 - 1601, 2016

Younghun Hong - (email)

 Abstract       References       Full Text      Related Articles

13

Least energy solutions of nonlinear Schrödinger equations involving the half Laplacian and potential wells

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1215 - 1231, 2016

Miaomiao Niu - (email), Zhongwei Tang - (email)

 Abstract       References       Full Text      Related Articles

14

On blow-up criterion for the nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 7, Pages : 3639 - 3650, 2016

Dapeng Du - (email), Yifei Wu - (email), Kaijun Zhang - (email)

 Abstract       References       Full Text      Related Articles

15

A degenerate edge bifurcation in the 1D linearized nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 2991 - 3009, 2015

Matt Coles - (email), Stephen Gustafson - (email)

 Abstract       References       Full Text      Related Articles

16

Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 2793 - 2817, 2015

Anne de Bouard - (email), Reika Fukuizumi - (email), Romain Poncet - (email)

 Abstract       References       Full Text      Related Articles

17

Infinitely many solutions for a perturbed Schrödinger equation

DCDS Supplements  Volume 2015, Issue special, Pages : 94 - 102, 2015

Rossella Bartolo - (email), Anna Maria Candela - (email), Addolorata Salvatore - (email)

 Abstract       References       Full Text      Related Articles      

18

Remarks on a dispersive equation in de Sitter spacetime

DCDS Supplements  Volume 2015, Issue special, Pages : 901 - 905, 2015

Makoto Nakamura - (email)

 Abstract       References       Full Text      Related Articles      

19

A note on global well-posedness and blow-up of some semilinear evolution equations

Evolution Equations and Control Theory  Volume 4, Issue 3, Pages : 355 - 372, 2015

Tarek Saanouni - (email)

 Abstract       References       Full Text      Related Articles

20

Standing wave concentrating on compact manifolds for nonlinear Schrödinger equations

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 825 - 842, 2015

Jaeyoung Byeon - (email), Ohsang Kwon - (email), Yoshihito Oshita - (email)

 Abstract       References       Full Text      Related Articles

21

On weak interaction between a ground state and a trapping potential

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3343 - 3376, 2015

Scipio Cuccagna - (email), Masaya Maeda - (email)

 Abstract       References       Full Text      Related Articles

22

Nodal solutions of 2-D critical nonlinear Schrödinger equations with potentials vanishing at infinity

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 2921 - 2948, 2015

Mingwen Fei - (email), Huicheng Yin - (email)

 Abstract       References       Full Text      Related Articles

23

Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 225 - 246, 2014

Roy H. Goodman - (email), Jeremy L. Marzuola - (email), Michael I. Weinstein - (email)

 Abstract       References       Full Text      Related Articles

24

Radial symmetry of ground states for a regional fractional Nonlinear Schrödinger Equation

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2395 - 2406, 2014

Patricio Felmer - (email), César Torres - (email)

 Abstract       References       Full Text      Related Articles

25

Newton's law for a trajectory of concentration of solutions to nonlinear Schrodinger equation

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1685 - 1718, 2014

Anatoli Babin - (email), Alexander Figotin - (email)

 Abstract       References       Full Text      Related Articles

26

Ill-posedness for the quadratic nonlinear Schrödinger equation with nonlinearity $|u|^2$

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1395 - 1405, 2014

Tsukasa Iwabuchi - (email), Kota Uriya - (email)

 Abstract       References       Full Text      Related Articles

27

Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1563 - 1580, 2014

Tadahiro Oh - (email)

 Abstract       References       Full Text      Related Articles

28

Internal control of the Schrödinger equation

Mathematical Control and Related Fields  Volume 4, Issue 2, Pages : 161 - 186, 2014

Camille Laurent - (email)

 Abstract       References       Full Text      Related Articles

29

The defocusing $\dot{H}^{1/2}$-critical NLS in high dimensions

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 733 - 748, 2013

Jason Murphy - (email)

 Abstract       References       Full Text      Related Articles

30

Numerical simulation of nonlinear dispersive quantization

Discrete and Continuous Dynamical Systems  Volume 34, Issue 3, Pages : 991 - 1008, 2013

Gong Chen - (email), Peter J. Olver - (email)

 Abstract       References       Full Text      Related Articles

31

Constrained energy minimization and ground states for NLS with point defects

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1155 - 1188, 2013

Riccardo Adami - (email), Diego Noja - (email), Nicola Visciglia - (email)

 Abstract       References       Full Text      Related Articles

32

Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linear-nonlinear decomposition

Discrete and Continuous Dynamical Systems  Volume 33, Issue 5, Pages : 1905 - 1926, 2012

Benjamin Dodson - (email)

 Abstract       References       Full Text      Related Articles

33

Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 7 - 26, 2012

Thomas Bartsch - (email), Zhongwei Tang - (email)

 Abstract       References       Full Text      Related Articles

34

Bounds on the growth of high Sobolev norms of solutions to 2D Hartree equations

Discrete and Continuous Dynamical Systems  Volume 32, Issue 10, Pages : 3733 - 3771, 2012

Vedran Sohinger - (email)

 Abstract       References       Full Text      Related Articles

35

Energy cascades for NLS on the torus

Discrete and Continuous Dynamical Systems  Volume 32, Issue 6, Pages : 2063 - 2077, 2012

Rémi Carles - (email), Erwan Faou - (email)

 Abstract       References       Full Text      Related Articles

36

On the fluid dynamical approximation to the nonlinear Klein-Gordon equation

Discrete and Continuous Dynamical Systems  Volume 32, Issue 6, Pages : 2233 - 2251, 2012

Chi-Kun Lin - (email), Kung-Chien Wu - (email)

 Abstract       References       Full Text      Related Articles

37

Soliton and blow-up solutions to the time-dependent Schrödinger-Hartree equation

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 5, Pages : 903 - 923, 2012

Hristo Genev - (email), George Venkov - (email)

 Abstract       References       Full Text      Related Articles

38

On the Cauchy problem for nonlinear Schrödinger equations with rotation

Discrete and Continuous Dynamical Systems  Volume 32, Issue 3, Pages : 703 - 715, 2011

Paolo Antonelli - (email), Daniel Marahrens - (email), Christof Sparber - (email)

 Abstract       References       Full Text      Related Articles

39

On the blow-up boundary solutions of the Monge -Ampére equation with singular weights

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 697 - 708, 2011

Haitao Yang - (email), Yibin Chang - (email)

 Abstract       References       Full Text      Related Articles

40

Numerical simulation of resonant tunneling of fast solitons for the nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 29, Issue 4, Pages : 1637 - 1649, 2010

Walid K. Abou Salem - (email), Xiao Liu - (email), Catherine Sulem - (email)

 Abstract       References       Full Text      Related Articles

41

Existence of solitary waves in nonlinear equations of Schrödinger type

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1007 - 1017, 2010

Juan Belmonte-Beitia - (email), Vladyslav Prytula - (email)

 Abstract       References       Full Text      Related Articles

42

Exact solutions for periodic and solitary matter waves in nonlinear lattices

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1299 - 1325, 2010

Cheng Hou Tsang - (email), Boris A. Malomed - (email), Kwok Wing Chow - (email)

 Abstract       References       Full Text      Related Articles

43

Dark solitary waves in nonlocal nonlinear Schrödinger systems

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 5, Pages : 1327 - 1340, 2010

David Usero - (email)

 Abstract       References       Full Text      Related Articles

44

A sharp decay estimate for nonlinear Schrödinger equations with vanishing potentials

Communications on Pure and Applied Analysis  Volume 9, Issue 6, Pages : 1723 - 1730, 2010

Yongsheng Jiang - (email), Huan-Song Zhou - (email)

 Abstract       Full Text      Related Articles

45

Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1505 - 1554, 2010

Jeremy L. Marzuola - (email), Michael I. Weinstein - (email)

 Abstract       Full Text      Related Articles

46

Symmetric semiclassical states to a magnetic nonlinear Schrödinger equation via equivariant Morse theory

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1263 - 1281, 2010

Silvia Cingolani - (email), Mónica Clapp - (email)

 Abstract       Full Text      Related Articles

47

Some mathematical problems in a neoclassical theory of electric charges

Discrete and Continuous Dynamical Systems  Volume 27, Issue 4, Pages : 1283 - 1326, 2010

Anatoli Babin - (email), Alexander Figotin - (email)

 Abstract       Full Text      Related Articles

48

Almost cubic nonlinear Schrödinger equation: Existence, uniqueness and scattering

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1803 - 1823, 2009

Alp Eden - (email), Elİf Kuz - (email)

 Abstract       Full Text      Related Articles

49

On scattering for NLS: From Euclidean to hyperbolic space

Discrete and Continuous Dynamical Systems  Volume 24, Issue 4, Pages : 1113 - 1127, 2009

Valeria Banica - (email), Rémi Carles - (email), Thomas Duyckaerts - (email)

 Abstract       Full Text      Related Articles

50

$L^2$-concentration phenomenon for Zakharov system below energy norm II

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 1117 - 1132, 2009

Sijia Zhong - (email), Daoyuan Fang - (email)

 Abstract       Full Text      Related Articles

51

Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\R^2$

Discrete and Continuous Dynamical Systems  Volume 21, Issue 3, Pages : 665 - 686, 2008

J. Colliander - (email), M. Keel - (email), Gigliola Staffilani - (email), H. Takaoka - (email), T. Tao - (email)

 Abstract       Full Text      Related Articles

52

Stability of standing waves for a nonlinear Schrödinger equation wdelta potentialith a repulsive Dirac

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 121 - 136, 2008

Reika Fukuizumi - (email), Louis Jeanjean - (email)

 Abstract       Full Text      Related Articles

53

Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$

Communications on Pure and Applied Analysis  Volume 7, Issue 3, Pages : 467 - 489, 2008

J. Colliander - (email), Justin Holmer - (email), Monica Visan - (email), Xiaoyi Zhang - (email)

 Abstract       Full Text      Related Articles

54

Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: Numerical evidence

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 1, Pages : 11 - 36, 2007

Cristophe Besse - (email), Rémi Carles - (email), Norbert J. Mauser - (email), Hans Peter Stimming - (email)

 Abstract       Full Text      Related Articles

55

Slow soliton interaction with delta impurities

Journal of Modern Dynamics  Volume 1, Issue 4, Pages : 689 - 718, 2007

Justin Holmer - (email), Maciej Zworski - (email)

 Abstract       Full Text      Related Articles

56

Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D

Discrete and Continuous Dynamical Systems  Volume 19, Issue 1, Pages : 37 - 65, 2007

Daniela De Silva - (email), Nataša Pavlović - (email), Gigliola Staffilani - (email), Nikolaos Tzirakis - (email)

 Abstract       Full Text      Related Articles

57

Global existence results for nonlinear Schrödinger equations with quadratic potentials

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 385 - 398, 2005

Rémi Carles - (email)

 Abstract       Full Text      Related Articles

58

Instability of bound states for 2D nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 413 - 428, 2005

Tetsu Mizumachi - (email)

 Abstract       Full Text      Related Articles

59

The nonlinear Schrödinger equation as a resonant normal form

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 1, Pages : 109 - 128, 2001

Dario Bambusi - (email), A. Carati - (email), A. Ponno - (email)

 Abstract       Full Text      Related Articles

60

Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential

Discrete and Continuous Dynamical Systems  Volume 7, Issue 3, Pages : 525 - 544, 2001

Reika Fukuizumi - (email)

 Abstract       Full Text      Related Articles

61

Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited

Discrete and Continuous Dynamical Systems  Volume 3, Issue 3, Pages : 383 - 400, 1997

Nakao Hayashi - (email), Pavel I. Naumkin - (email)

 Abstract       Full Text      Related Articles