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arXiv · 1912.00884

A nonlinear Klein-Gordon equation on a star graph

Nataliia Goloshchapova
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Abstract

We study local well-posedness and orbital stability/instability of standing waves for a first order system associated with a nonlinear Klein-Gordon equation on a star graph. The proof of the well-posedness uses a classical fixed point argument and the Hille-Yosida theorem. Stability study relies on the linearization approach and recent results for the NLS equation with the $\delta$-interaction on a star graph.

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Nataliia Goloshchapova. 2019-12-02. A nonlinear Klein-Gordon equation on a star graph. https://arxiv.org/abs/1912.00884

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