| 一类非线性高阶多维双曲型方程组的初值问题 |
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| 引用本文： | 苗长兴.一类非线性高阶多维双曲型方程组的初值问题[J].河南科学,1991,9(1):1-14. |
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| 作者姓名： | 苗长兴 |
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| 作者单位： | 郑州大学 焦作矿业学院 |
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| 摘 要： | 本文研究了一类非线性高阶多维双曲型方程组的周期边值问题和初值问题,利用 Galerkin 方法和能量积分估计,在一定的条件下,分别证明了该问题整体广义解和整体古典解的存在唯一性定理。
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| 关 键 词： | 多维双曲型 方程组 初值问题 |
THE INITIAL VALUE PROBLEM FOR A CLASS OF SYSTEM OF NONLINEAR MULTIMENSIONAL HYPERBOLIC EQUATION OF HIGHER ORDER |
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| Miao Changxing.THE INITIAL VALUE PROBLEM FOR A CLASS OF SYSTEM OF NONLINEAR MULTIMENSIONAL HYPERBOLIC EQUATION OF HIGHER ORDER[J].Henan Science,1991,9(1):1-14. |
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| Authors: | Miao Changxing |
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| Institution: | Miao Changxing |
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| Abstract: | In this paper we consider the periodic boundary problem and initial problem for a class of system of nonlinear multimensional hyperbolic equation of higher order,Applying Galerkin method and energy integration estimates we prove the existence and uniquenass theorem of global generalized solution and global classical sulution for this problem under some different conditions. |
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| Keywords: | system of multimensional hyperbolic equation the initial value problem Galerkin meihod |
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