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On global existence of localized solutions of some nonlinear lattices

G. Perla Menzala·V. V. Konotop
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Abstract

We prove global existence and uniqueness of solutions of some important nonlinear lattices which include the Fermi-Pasta-Ulam (FPU) lattice. Our result shows (on a particular example) that the FPU lattice with high nonlinearity and its continuum limit display drastically different behaviour with respect to blow up phenomenon.

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G. Perla Menzala, V. V. Konotop. 2000-02-16. On global existence of localized solutions of some nonlinear lattices. https://arxiv.org/abs/cond-mat/0002244

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