| 关于确定一类双曲型方程低次项系数的反问题 |
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| 引用本文： | 张兴永,刘永民.关于确定一类双曲型方程低次项系数的反问题[J].徐州师范大学学报(自然科学版),1992(3). |
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| 作者姓名： | 张兴永 刘永民 |
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| 作者单位： | 中国矿业大学
(张兴永)，徐州师范学院数学系(刘永民) |
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| 摘 要： | 本文对一类双曲型方程u_u(x,t)-u_ss(x,t)+p(x)u_s(x,t)+q(x)u(x,t)=F(x,t)的柯西问题讨论了如何确定低次项系数q(x)的反问题,文中给出了反问题局部解的存在性与唯一性。
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| 关 键 词： | 反问题 双曲型方程 |
DETERMINATION OF THE LOW TERM COEFFICIENT IN A INVERSE PROBLEM OF HYPERBOLIC TYPE EQUATION |
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| Zhang Xingyong and Liu Yangmin.DETERMINATION OF THE LOW TERM COEFFICIENT IN A INVERSE PROBLEM OF HYPERBOLIC TYPE EQUATION[J].Journal of Xuzhou Normal University(Natural Science Edition),1992(3). |
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| Authors: | Zhang Xingyong and Liu Yangmin |
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| Institution: | Zhang Xingyong and Liu Yangmin |
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| Abstract: | This paper discusses how to determine the low term coefficient q(x) in the inverse problem of Cauchy problem of hyperbolic type equation ua(x,t) - u22(x,t)+p(x)ux(x,t)+q(x)u(x,t) = F(x,t). The uniqueness and existence for local solution of the inverse problem are given in this paper. |
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| Keywords: | Inverse problem Hyperbolic type equation |
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