On global existence of localized solutions of some nonlinear lattices
Menzala, G. Perla · Konotop, V. V.
Original · EN
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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