By Dirk Hennig

We prove the existence of time-periodic solutions and spatially localised solutions (breathers), in general nonlinear Klein-Gordon infinite lattices. The existence problem is converted into a fixed point problem for an operator on some appropriate function space which is solved by means of Schauder's Fixed Point Theorem.

August 18, 2021

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Existence of breathers in nonlinear Klein-Gordon lattices

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