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arXiv · 1703.01618

Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit

Stefano Pasquali
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Abstract

We study the one-dimensional nonlinear Klein-Gordon (NLKG) equation with a convolution potential, 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.

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Stefano Pasquali. 2017-03-05. Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit. https://doi.org/10.1063/1.4994969

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