Global Existence and Blow-Up for Wave Equations with Weighted Nonlinear Terms in One Space Dimension
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概要
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We consider the initial value problem for wave equations with weighted nonlinear terms in one space dimension. Under the assumption that the initial data and nonlinearity are odd functions, we are able to show global existence of small amplitude solutions. We also prove that symmetric assumptions on the initial data are necessary to obtain the global solution, by showing a blow-up result.
- 東北大学大学院情報科学研究科の論文
東北大学大学院情報科学研究科 | 論文
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