| 一类带阻尼项的拟线性双曲型方程 |
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| 引用本文： | 屈长征,孙国华.一类带阻尼项的拟线性双曲型方程[J].纯粹数学与应用数学,1995,11(1):48-55. |
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| 作者姓名： | 屈长征 孙国华 |
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| 作者单位： | 西北大学 |
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| 摘 要： | 本文讨论了从细杆的振动中提出的一类带阻尼项的拟线性双曲型方程的初边值问题的解在唯一性，利用已有的线性结果及动点定理结合能量估计建立了解的存在唯一性。
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| 关 键 词： | 双曲型方程 不动点定理 局部解 阻尼项 拟线性 |
ON A LOCAL SOLUTION FOR A CLASS OF QUASILINEAR WAVE EQUATION WITH DISSPATIVE TERMS |
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| Qu Changzheng ,Sun Guohua ,Li Wei.ON A LOCAL SOLUTION FOR A CLASS OF QUASILINEAR WAVE EQUATION WITH DISSPATIVE TERMS[J].Pure and Applied Mathematics,1995,11(1):48-55. |
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| Authors: | Qu Changzheng Sun Guohua Li Wei |
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| Abstract: | This paper discuss the existence and uniqueness of the solution for the initial and boundary value problem of a class of quasilinear wave equation with dissipative terms,firsty study the exitence and uniqueness and decay estimate of the solution for a class of linear wave equation. Then established the exitence and uniqueness of the solution, all used the technique is the results of linear problem and fixed point theorem combined with energy estimate. |
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| Keywords: | hyperbolic equation local Solution fixed point theorem |
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