The Cauchy problem for properly hyperbolic equations in one space variable
The Cauchy problem for properly hyperbolic equations in one space variable
In this paper, we consider the Cauchy problem for higher-order weakly hyperbolic equations assuming that the principal symbol depends only on one space variable and the characteristic roots [Formula: see text] verify an inequality like [Formula: see text] We prove that the Cauchy problem is well-posed in [Formula: see text] …