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arXiv · 1911.11096

Orbital Stability of Periodic Standing Waves for the Logarithmic Klein-Gordon Equation

Fábio Natali·Eleomar Cardoso Jr
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Abstract

The main goal of this paper is to present orbital stability results of periodic standing waves for the one-dimensional logarithmic Klein-Gordon equation. To do so, we first use compactness arguments and a non-standard analysis to obtain the existence and uniqueness of weak solutions for the associated Cauchy problem in the energy space. Second, we prove the orbital stability of standing waves using a stablity analysis of conservative systems.

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Fábio Natali, Eleomar Cardoso Jr. 2019-11-25. Orbital Stability of Periodic Standing Waves for the Logarithmic Klein-Gordon Equation. https://arxiv.org/abs/1911.11096

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