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math.CA2005★ 10 cited
Global Existence and Compact Attractors for the Discrete Nonlinear Schrödinger equation
Nikos I. Karachalios, Athanasios N. Yannacopoulos
We study the asymptotic behavior of solutions of discrete nonlinear Schrödinger-type (DNLS) equations. For a conservative system, we consider the global in time solvability and the…
math.CA2005
Asymptotic Behavior of Solutions of Complex Discrete Evolution Equations: The Discrete Ginzburg-Landau Equation
Nikos I. Karachalios, Hector E. Nistazakis, Athanasios N. Yannacopoulos
We study the asymptotic behavior of complex discrete evolution equations of Ginzburg- Landau type. Depending on the nonlinearity and the data of the problem, we find different dyna…