Global attractor and l^p solutions to initial value problems of discrete nonlinear Schrodinger equations complex potential
DOI:
https://doi.org/10.58997/ejde.2024.12Keywords:
Discrete nonlinear Schrodinger equation; semigroup; l^p solution; global attractor; Lipschitz continuous; initial value problem; complex potential.Abstract
In this article, we investigate the global well-posedness of initial value problems of the time-dependent discrete nonlinear Schrodinger equation with a complex potential and sufficiently general nonlinearity on a multidimensional lattice in weighted \( l^p\) spaces for \( 1< p <\infty\). Thanks to our improved estimates we are able to prove the existence of global attractor for \( l^p\) solutions to the initial value problem.
For more information see https://ejde.math.txstate.edu/Volumes/2024/12/abstr.html
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