Nonexistence results for the semilinear wave equation on graphs
Nonexistence results for the semilinear wave equation on graphs
We investigate the semilinear wave equation with potential on weighted graphs. We establish sufficient conditions for the nonexistence of global-in-time solutions. Both nonnegative and sign-changing solutions are considered. In particular, the proof for sign-changing solutions relies on a novel technique for this type of result.
Dario Daniele Monticelli、Fabio Punzo、Jacopo Somaglia
数学
Dario Daniele Monticelli,Fabio Punzo,Jacopo Somaglia.Nonexistence results for the semilinear wave equation on graphs[EB/OL].(2025-06-10)[2025-07-21].https://arxiv.org/abs/2506.08697.点此复制
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