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Nonexistence results for the semilinear wave equation on graphs

Nonexistence results for the semilinear wave equation on graphs

来源:Arxiv_logoArxiv
英文摘要

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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