Hyperbolic operators with double characteristics, Hamilton map and Hamilton flow

点击翻译按钮获取中文摘要

Much progress has been achieved on the well-posedness of the Cauchy problem for linear hyperbolic operators with double characteristics. In particular in several transition cases from effectively hyperbolic to noneffectively hyperbolic, the relations between the spectral properties of the Hamilton map and the well-posedness conditions are clarified. I have published many such obtained results and also presented such results in several international meetings.