中文摘要：

本文主要研究的是相函数为齐次椭圆多项式的自由高阶Schro··dinger方程．通过相函数等值面的几何性质，得到了解算子的Strichartz加权估计和极大算子加权估计．

英文摘要：

This paper is concerned with the free higher-order Schro··dinger equation whose phase function is homogenous elliptic polynomial. By the properties of the corresponding lever hypersurface, the authors show Strichartz weighted estimates of solution operator and weighted estimates of maximal operator.