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arXiv:1703.01618 [math.AP]AbstractReferencesReviewsResources

Long time behaviour of the nonlinear Klein-Gordon equation in the nonrelativistic limit, II

Stefano Pasquali

Published 2017-03-05Version 1

We study the nonlinear Klein-Gordon (NLKG) equation with a convolution potential on $[0,\pi]$, and we prove that solutions with small $H^s$ norm remain small for long times. The result is uniform with respect to $c \geq 1$, which however has to belong to a set of large measure.

Categories: math.AP, math-ph, math.MP
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