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

DOI10.1017/S0308210505000831zbMath1125.35091MaRDI QIDQ5756820

Nikos I. Karachalios, Athanasios N. Yannacopoulos

Publication date: 5 September 2007

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite difference approximationdiscrete nonlinear Schrödinger equationdiscrete Klein-Gordon equation

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

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