The existence of a global attractor for the discrete nonlinear Schrödinger equation. II. Compactness without tail estimates in $\mathbb{Z}^N$, $N\geq1$, lattices

2007 ◽  
Vol 137 (01) ◽  
pp. 63-76 ◽  
Author(s):  
Nikos I. Karachalios ◽  
Athanasios N. Yannacopoulos
Keyword(s):  
Schrödinger Equation ◽  
Global Attractor ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Discrete Nonlinear Schrödinger Equation ◽  
Nonlinear Schrödinger

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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