Uniform decay rates of the solutions of a nonlinear lattice

✍ Scribed by G.Perla Menzala; V.V. Konotop

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 188 KB
• Volume: 54
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(03)00061-0

✦ Synopsis

We consider a family of ÿnite nonlinear Klein-Gordon lattices subject to cyclic boundary conditions under the e ect 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 → + ∞.