标题： 有效双曲算子的直接能量估计 显示英文标题

标题： A direct energy estimates for effectively hyperbolic operators

摘要： 本文致力于对有效双曲算子的能量估计进行更简单的推导，相比于之前存在的方法。主要观点之一是不使用一般的傅里叶积分算子，另一个观点是有效地使用与几种不同度量相关的伪微分算子的Weyl微分法。 显示英文摘要

摘要： This paper is devoted to a simpler derivation of energy estimates compared to previously existing ones, for effectively hyperbolic operators. One of main points is no use of general Fourier integral operators and another point is an efficient use of Weyl calculus of pseudodifferential operators associated with several different metrics.