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- W4299582682 abstract "In this paper, the discretization of a nonlinear wave equation whose nonlinear term is a power function is introduced. The difference equation derived by discretizing the nonlinear wave equation has solutions which show characteristics corresponding to the characteristics of the blow-up solutions for the original equation. The initial value problem for the original equation has blow-up solutions when a certain condition is met. We prove that when a similar condition as that of the original solution is met in the initial value problem for the introduced difference equation, the introduced difference equation has blow-up solutions having characteristics corresponding to the characteristics of the blow-up solutions for the original equation." @default.
- W4299582682 created "2022-10-02" @default.
- W4299582682 creator A5017994737 @default.
- W4299582682 date "2011-07-10" @default.
- W4299582682 modified "2023-09-24" @default.
- W4299582682 title "The blow-up theorem of a discrete semilinear wave equation" @default.
- W4299582682 doi "https://doi.org/10.48550/arxiv.1107.1917" @default.
- W4299582682 hasPublicationYear "2011" @default.
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