Global Existence and Compact Attractors for the Discrete Nonlinear Schrödinger equation

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dc.creatorKarachalios, Nikos I.
dc.creatorYannacopoulos, Athanasios N.
dc.date2005-03-15
dc.date.accessioned2026-07-07T05:17:58Z
dc.date.available2026-07-07T05:17:58Z
dc.descriptionWe 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 question of existence of standing wave solutions. Similarities and differences with the continuous counterpart (NLS-partial differential equation) are pointed out. For a dissipative system we prove existence of a global attractor and its stability under finite dimensional approximations. Similar questions are treated in a weighted phase space. Finally, we propose possible extensions for various types of DNLS equations.
dc.identifierhttps://arxiv.org/abs/math/0503298
dc.identifierhttp://arxiv.org/abs/math/0503298
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74501
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.titleGlobal Existence and Compact Attractors for the Discrete Nonlinear Schrödinger equation
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