Blow-up of solutions for nonlinear wave equations on locally finite graphs
Let $ G = (V, E) $ be a local finite connected weighted graph, $ \Omega $ be a finite subset of $ V $ satisfying $ \Omega^\circ\neq\emptyset $. In this paper, we study the nonexistence of the nonlinear wave equation $ \partial^2_t u = \Delta u + f(u) $ on $ G $. Under the appropriate conditi...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023922?viewType=HTML |