| 无界区域中的非线性双曲型方程 |
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| 引用本文： | 耿堤,屈长征.无界区域中的非线性双曲型方程[J].应用数学和力学,1992,13(3):237-243. |
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| 作者姓名： | 耿堤 屈长征 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： | 本文研究无界区域中的非线性双曲方程utt+A2u+M(x,||A1/2u||22)Au=0这类问题的模型来自梁的横向挠曲方程.本文利用不动点方法结合能量估计证明了当M与x有关时,上述方程局部解的存在唯一性.
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| 关 键 词： | 非线性双曲型方程 无界区域 能量估计 不动点方法 |
| 收稿时间： | 1990-11-10 |
On Nonlinear Hyperbolic Equation in Unbounded Domain |
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| Geng Di Qu Chang-zheng.On Nonlinear Hyperbolic Equation in Unbounded Domain[J].Applied Mathematics and Mechanics,1992,13(3):237-243. |
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| Authors: | Geng Di Qu Chang-zheng |
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| Institution: | Lanzhou University, Lanzhou |
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| Abstract: | The following nonlinear hyperbolic equation is discussed in this paper.
where,The model comes from the transverse deflection equation of an extensible beam. We prove that there exists a unique local solution of the above equation as M depends on x. |
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| Keywords: | nonlinear hyperbolic equaions unbounded domain energy estimation fixed point method |
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