Finite dimensional global attractor for a semi-discrete nonlinear Schrödinger equation with a point defect

2011 ◽  
Vol 217 (19) ◽  
pp. 7818-7830 ◽  
Author(s):  
Emna Ezzoug ◽  
Wided Kechiche ◽  
Ezzeddine Zahrouni
Keyword(s):  
Schrödinger Equation ◽  
Point Defect ◽  
Global Attractor ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Discrete Nonlinear Schrödinger Equation ◽  
Nonlinear Schrödinger ◽  
Finite Dimensional

scholarly journals Pullback attractor for a nonlocal discrete nonlinear Schrödinger equation with delays

2021 ◽  
pp. 1-18
Author(s):  
Jardel Pereira
Keyword(s):  
Schrödinger Equation ◽  
Global Attractor ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Pullback Attractor ◽  
Discrete Nonlinear Schrödinger Equation ◽  
Nonlinear Schrödinger

We consider a nonlocal discrete nonlinear Schrödinger equation with delays. We prove that the process associated with the non-autonomous model possesses a pullback attractor. As a consequence of our discussion, the existence of a global attractor for the autonomous model is derived.

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