On global existence of localized solutions of some nonlinear lattices

Details On global existence of localized solutions of some nonlinear lattices On global existence of localized solutions of some nonlinear lattices

2000-02-16

arxiv.org/abs/cond-mat/0002244v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

LATEX 16 pages (no figures). To appear in Applicable Analysis

Scientific paper

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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