线性偏微分方程组的Cauchy问题一致适定性的M—判别法(英文)

M-Criteria for the Consistent Suitability of the Cauchy Problem of Linear Partial Differential Systems

本文以M-矩阵为工具,研究高维变系数线性偏微分方程组的Cauchy问题,得到该问题一致适定性与文不同的一系列显式代数判据(称为M-判别法).

The Cauchy problem of higher-dimensionar linear partial differential systems with variable coefficients is studied by taking M-matrix~[1] as a tool. A series of algebraic criteria (M-criteria) is obtained for the consistent suitability of the Cauchy problem, which are different from these reported in the references~[2-6].