Uniform decay rates of the solutions of a nonlinear lattice

We consider a family of finite nonlinear Klein–Gordon lattices subject to cyclic boundary conditions under the effect of a dissipative mechanism. We show that the model is globally well posed in a natural Banach space and our main result says that the total energy associated with the model decays ex...

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Bibliographic Details
Published in:Nonlinear analysis 2003-07, Vol.54 (2), p.261-278
Main Authors: Menzala, G.Perla, Konotop, V.V.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Finite differences and functional equations
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
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Summary:We consider a family of finite nonlinear Klein–Gordon lattices subject to cyclic boundary conditions under the effect of a dissipative mechanism. We show that the model is globally well posed in a natural Banach space and our main result says that the total energy associated with the model decays exponentially fast when t→+ ∞ .
ISSN:0362-546X
1873-5215
DOI:10.1016/S0362-546X(03)00061-0