Uniform decay rates of the solutions of a nonlinear lattice

DOI10.1016/S0362-546X(03)00061-0zbMath1023.37044OpenAlexW2038514126MaRDI QIDQ1811777

Vladimir V. Konotop, Gustavo Perla Menzala

Publication date: 17 June 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(03)00061-0

zbMATH Keywords

exponential energy decayglobal well-posednessKlein-Gordon lattice with damping

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)

Related Items (3)

Attractors for second order periodic lattices with nonlinear damping ⋮ Localized solutions of a nonlinear diatomic lattice ⋮ On localized solutions of discrete nonlinear Schrödinger equation: an exact result

Cites Work

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• Dispersive blowup of solutions of generalized Korteweg-de Vries equations
• Theory of nonlinear lattices
• Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
• A difference inequality and its application to nonlinear evolution equations
• On global existence of localized solutions of some nonlinear lattices
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators

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