A nonlinear Klein–Gordon equation on a star graph

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Mathematische Nachrichten

سال: 2021

ISSN: ['1522-2616', '0025-584X']

DOI: https://doi.org/10.1002/mana.201900526