A note on small periodic solutions of discrete nonlinear Klein-Gordon equations (1603.01944v1)

Published 7 Mar 2016 in math.AP

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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Authors (1)

Masaya Maeda

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