| 一维波动方程Dirichlet问题的唯一性 |
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| 引用本文： | 王景荣.一维波动方程Dirichlet问题的唯一性[J].西北师范大学学报,1988(4). |
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| 作者姓名： | 王景荣 |
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| 摘 要： | 本文给出波动方程u_(tt)-U_(xx)=0在矩形区域上的Dirichlet问题唯一性的新证明。并且证明了一维双曲方程au_(tt)+2bu_(xt)+cu_(xx)=0(b~2>ac)在矩形区域上的Dirichlet问题唯一的一个充分条件。
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| 关 键 词： | 弱解 特征线 |
On the Uniqueness of Solutions to the Dirichlet Problem for the One-Dimensional Wave Equations |
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| Wang Jinglong.On the Uniqueness of Solutions to the Dirichlet Problem for the One-Dimensional Wave Equations[J].Journal of Northwest Normal University Natural Science (Bimonthly),1988(4). |
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| Authors: | Wang Jinglong |
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| Institution: | Wang Jinglong |
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| Abstract: | In this paper we have proved the uniqueness of weak solutions to the Diri-chlet problem for the equation u_(tt)-u_(xx)=0 in rectangle, and given a sufficient condition for the uniqueness of solutions to the Dirichlet problem for equation au_(tt)-2bu_(xt)+u_(xx)=0. (b~2>ac) in rectangle. |
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| Keywords: | weak solution characteristic line |
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