中文摘要：

研究了带凸Hamiltonian的高维Hamilton-Jacobi（HJ）方程特征线的性质.证明了所有的特征线分2类,其中一类永远不会碰到奇异点,另一类将在有限的时间内碰到奇异点.

英文摘要：

Properties of the characteristics of the Hamilton-Jacobi（HJ） equations of multidimensional space variables with convex Hamiltonians are studied.It is proved that there are only two kinds of characteristics：one never touches the singularity point,and the other touches the singularity point in a finite time.