| Hamilton-Jacobi 方程特征线的性质 I |
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| 引用本文： | 赵引川.Hamilton-Jacobi 方程特征线的性质 I[J].吉首大学学报(自然科学版),2010,31(1):13-15. |
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| 作者姓名： | 赵引川 |
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| 作者单位： | (华北电力大学数理系，北京102206) |
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| 基金项目： | National Natural Foundation of China(10926067;70901025) |
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| 摘 要： | 研究带凸Hamiltonian的高维Hamilton-Jacobi (HJ)方程特征线的性质.证明了HJ方程解的表达式中的极值曲线是特征线，对上半空间中任一点，都存在1条有效特征线段经过它.
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| 关 键 词： | Hamilton-Jacobi 方程 特征线 Hopf-Lax公式 |
Properties of the Charactristic of Hamilton-Jacobi Equations I |
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| ZHAO Yin-chuan.Properties of the Charactristic of Hamilton-Jacobi Equations I[J].Journal of Jishou University(Natural Science Edition),2010,31(1):13-15. |
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| Authors: | ZHAO Yin-chuan |
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| Institution: | (Department of Mathematics and Physics,North China Electric Power University,Beijing 102206,China) |
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| Abstract: | This paper is concerned with the Hamilton-Jacobi(HJ) equations of multidimensional space variables with convex Hamiltonians.The author proves the extreme curve in the formula of the solution to the HJ equation is a characteristic and for each point in upper half-space,there exists a valid characteristic segment passing through it. |
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| Keywords: | Hamilton-Jacobi equation characteristic Hopf-Lax formula |
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