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arXiv · 2209.04158

Stability and instability of standing-wave solutions to one dimensional quadratic-cubic Klein-Gordon equations

Daniele Garrisi
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Abstract

We study the stability of standing-waves solutions to a scalar non-linear Klein-Gordon equation in dimension one with a quadratic-cubic non-linearity. Orbits are obtained by applying the semigroup generated by the negative complex unit multiplication on a critical point of the energy constrained to the charge.

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Daniele Garrisi. 2022-09-09. Stability and instability of standing-wave solutions to one dimensional quadratic-cubic Klein-Gordon equations. https://arxiv.org/abs/2209.04158

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