| MULTIDIMENSIONAL GOURSAT PROBLEM FOR SEMILINEAR HYPERBOLIC EQUATIONS |
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| 作者姓名： | FANG DAOYUAN GONG XIAOQING |
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| 作者单位： | FANG DAOYUAN;GONG XIAOQING Department of Applied Mathematics，Zhejiang University，Hangzhou 310027 Department of Applied Mathematics，Wuhan University of Hydraulic and Electrical Engineering，Wuhan 430072 |
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| 基金项目： | This work is partially supported by National Natural Science Foundation of China. |
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| 摘 要： | In this paper we study the Goursat problem for semilinear hyperbolicequations with zero boundary condition where the boundary is the characteristic conefor hyperbolic operator. Our result shows that the solution is Lipschitz and is smoothaway from the characteristic cone.
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| 收稿时间： | 12 October 1994 |
MULTIDIMENSIONAL GOURSAT PROBLEM FOR SEMILINEAR HYPERBOLIC EQUATIONS |
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| FANG DAOYUAN,GONG XIAOQING.MULTIDIMENSIONAL GOURSAT PROBLEM FOR SEMILINEAR HYPERBOLIC EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,1996,11(1):43-50. |
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| Authors: | FANG DAOYUAN GONG XIAOQING |
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| Institution: | (1) Department of Applied Mathematics, Zhejiang University, 310027 Hangzhou;(2) Department of Applied Mathematics, Wuhan University of Hydraulic and Electrical Engineering, 430072 Wuhan |
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| Abstract: | In this paper we study the Goursat problem for semilinear hyperbolicequations with zero boundary condition where the boundary is the characteristic conefor hyperbolic operator. Our result shows that the solution is Lipschitz and is smoothaway from the characteristic cone. |
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| Keywords: | Multidimensional Goursat problem semilinear equation Lipschitz solution |
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