Department of Mathematics
Morgan State University
Baltimore, MD 21251, USA
email: guouping.zhang@morgan.edu
Department of Mathematics
Morgan State University
Baltimore, MD 21251, USA
email: ghabu2@morgan.edu
Guoping Zhang, Ghder Aburamyah
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.
Submitted November 1, 2023. Published January 31, 2024.
Math Subject Classifications: 37L60, 35B41, 35Q55.
Key Words: Discrete nonlinear Schrodinger equation; semigroup; l^p solution;
global attractor; Lipschitz continuous; initial value problem; complex potential.
DOI: 10.58997/ejde.2024.12
Show me the PDF file (372 KB), TEX file for this article.
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Guoping Zhang Department of Mathematics Morgan State University Baltimore, MD 21251, USA email: guouping.zhang@morgan.edu |
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| Ghder Aburamyah Department of Mathematics Morgan State University Baltimore, MD 21251, USA email: ghabu2@morgan.edu |
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