Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials

Dirk Hennig

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arXiv · 2011.09738

Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials

Dirk Hennig

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Abstract

The existence of nonzero localised periodic solutions for general one-dimensional discrete nonlinear Klein-Gordon systems with convex on-site potentials is proved. The existence problem of localised solutions is expressed in terms of a fixed point equation for an operator on some appropriate function space which is solved by means of Schauder's Fixed Point Theorem.

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Dirk Hennig. 2020-11-19. Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials. https://arxiv.org/abs/2011.09738

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