A nonlinear Klein–Gordon equation on a star graph

Nataliia Goloshchapova

Mathematische Nachrichten, 2021, vol. 294, issue 9, 1742-1764

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 δ‐interaction on a star graph.

Date: 2021
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https://doi.org/10.1002/mana.201900526

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