| 一类带有源项的拟线性波动方程的初边值问题 |
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| 引用本文： | 赵武超,宋志华.一类带有源项的拟线性波动方程的初边值问题[J].数学的实践与认识,2006,36(8):357-363. |
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| 作者姓名： | 赵武超 宋志华 |
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| 作者单位： | 1. 洛阳师范学院数学系,河南,洛阳,471022
2. 华北水利水电学院数学系,河南,郑州,450011 |
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| 摘 要： | 考虑一类带有源项的拟线性波动方程的初边值问题,利用G a lerk in方法和单调算子方法讨论在混合边界条件下,该问题整体广义解的存在性及衰减性.
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| 关 键 词： | 拟线性 波动方程 广义解 初边值问题 |
| 修稿时间： | 2006年5月9日 |
Initial Boundary Value Problem for a Quasi-Linear Wave Equation with Source Term |
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| ZHAO Wu-chao,SONG Zhi-hua.Initial Boundary Value Problem for a Quasi-Linear Wave Equation with Source Term[J].Mathematics in Practice and Theory,2006,36(8):357-363. |
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| Authors: | ZHAO Wu-chao SONG Zhi-hua |
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| Abstract: | The initial boundary value problem for a quasi-linear wave equastion is studied.By virtue of the Galerkin approximation scheme combined with the monotone operator method,it is proved that under the mixed nonhomogeneous condition,the above-mentioned problem admits a global generalized solution which decays to zero as t→∞. |
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| Keywords: | quasi-linearity wave equation generalized solutions initial boundary value problem |
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