| 抛物双曲方程组带Neumann型边界条件的初边值问题 |
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| 引用本文： | 杨灵娥.抛物双曲方程组带Neumann型边界条件的初边值问题[J].中南大学学报(自然科学版),1993(5). |
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| 作者姓名： | 杨灵娥 |
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| 作者单位： | 中南工业大学应用数学力学系 长沙，410083 |
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| 摘 要： | 在不同的条件下,研究了一类抛物双曲弱耦合方程组的带Neumann型边界条件的初边值问题,及其整体弱解的存在性和有限时间内解的Blow-up。
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| 关 键 词： | 耦合方程组 整体弱解 存在性 爆破 |
THE INITIAL BOUNDARY VALUE PROBLEM FOR THE SYSTEM OF PARABOLIC HYPERBOLIC EQUATIONS WITH NEUMANN BOUNDARY CONDITION |
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| Yang Linge.THE INITIAL BOUNDARY VALUE PROBLEM FOR THE SYSTEM OF PARABOLIC HYPERBOLIC EQUATIONS WITH NEUMANN BOUNDARY CONDITION[J].Journal of Central South University:Science and Technology,1993(5). |
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| Authors: | Yang Linge |
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| Institution: | Yang Linge Department of Applied Mathematics and Mechanics,Central South University of Technology,Changsha,410083,China |
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| Abstract: | Under different conditions,we have studied the existence of global solutions and blow-up of local solutions in finite times for the initial boundary value problem of parabolic hyper-bolic weak coupled systems with Neumann boundary value condition in this paper. |
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| Keywords: | coupled equations global weak solution existence blow-up |
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