| 一类广义RLW方程的整体强解 |
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| 引用本文： | 余秀萍,刘丽莉.一类广义RLW方程的整体强解[J].河北建筑工程学院学报,2002,20(1):79-81. |
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| 作者姓名： | 余秀萍 刘丽莉 |
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| 作者单位： | 河北建筑工程学院基础部 |
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| 摘 要： | 考虑广义RLW方程u_1-u_(xxt) f(u)_x=h_1(x,t) h_2(x,t)u h_3(x,t)u_x bu_(xx)的初边值问题,在f,h_1,h_2,h_3及初值u_0满足一定条件下,得到了上述问题整体强解的存在唯一性。
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| 关 键 词： | RLW方程 Galerkin方法 先验估计 整体强解 |
| 修稿时间： | 2001年12月18 |
The General Strong Solutions for a Class of Generalized RLW Equation |
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| Yu Xiuping,Liu Lili.The General Strong Solutions for a Class of Generalized RLW Equation[J].Journal of Hebei Institute of Architectural Engineering,2002,20(1):79-81. |
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| Authors: | Yu Xiuping Liu Lili |
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| Abstract: | In this paper we consider the initial-boundary value problem for the generalized RLW equation ut-uxxt f(u)x=h1(x,t) h2(x,t)u h3(x,t)ux buxx,Suppose that, f, h1, h2, h3 and initial value u0(x) meet some conditions, we obtain the existence and uniqueness of the general strong solutions. |
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| Keywords: | RLW equation Galerkin's method prior estimation general strong solution |
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