论文标题
具有三重特征的双曲线算子的对角线对称器
Diagonal symmetrizers for hyperbolic operators with triple characteristics
论文作者
论文摘要
双曲程方程的对称器是通过对双曲线符号的贝祖特矩阵进行对角化而获得的。这种对角线对称器适用于具有三重特征的双曲线算子的库奇问题。特别是，V.IVRII与三重有效双曲线特征有关的猜想被证明是由于系数取决于时间变量的差异操作员。
Symmetrizers for hyperbolic equations are obtained by diagonalizing the Bezoutian matrix of hyperbolic symbols. Such diagonal symmetrizers are applied to the Cauchy problem for hyperbolic operators with triple characteristics. In particular, the V.Ivrii's conjecture concerned with triple effectively hyperbolic characteristics is proved for differential operators with coefficients depending on the time variable.
