| 一类非线性退化波动方程解的爆破 |
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| 引用本文： | 刘文军王明新. 一类非线性退化波动方程解的爆破[J]. 数学学报, 2008, 51(6): 1213-122 |
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| 作者姓名： | 刘文军王明新 |
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| 作者单位： | 南京东南大学;徐州师范大学泉山校区数学系(东南大学数学系,南京) |
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| 摘 要： | 考虑了有界区域上一类非线性退化波动方程的初边值问题.通过改进Vitillaro,Li和Tsai的方法,建立了非正的初始能量以及正的初始能量下解的爆破结果.同时,还给出了解的生命跨度估计.
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| 关 键 词： | 解的爆破 退化波动方程 正的初始能量 |
| 收稿时间： | 2007-08-31 |
Blow-up of Solutions for a Class of Nonlinear Degenerate Wave Equations |
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| Affiliation: | Department of Mathematics,Southeast UniversityDepartment of Mathematics, Southeast University,Nanjing 210018, P. R. China |
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| Abstract: | We consider theinitial boundary value problem for a class of nonlinear degeneratewave equations in a bounded domain. By improving the method ofVitillaro, Li and Tsai, we establish a blow up result for certainsolutions with nonpositive initial energy as well as positiveinitial energy. Estimates of the lifespan of solutions are alsogiven. |
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| Keywords: | Blow-up of solution degenerate wave equations positive initial energy |
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