A note on small periodic solutions of discrete nonlinear Klein-Gordon equations

Masaya Maeda

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arXiv · 1603.01944

A note on small periodic solutions of discrete nonlinear Klein-Gordon equations

Masaya Maeda

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Abstract

In this note, we consider discrete nonlinear Klein-Gordon equations with potential. By the pioneering work of Sigal, it is known that for the "continuous" nonlinear Klein-Gordon equation, no small time periodic solution exists generically. However, for the discrete nonlinear Klein-Gordon equations, we show that there exist small time periodic solutions.

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Masaya Maeda. 2016-03-07. A note on small periodic solutions of discrete nonlinear Klein-Gordon equations. https://arxiv.org/abs/1603.01944

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