Dispersion for the Kirchhoff equation

本文利用渐近积分法得到了线性双曲型方程的表示公式和色散估计。Paris和Adv.微分方程。还有另一个结果；外域Kirchhoff方程解的整体存在性，以及小数据Kirchhoff系统。这些结果发表在《数学杂志》上。Soc。日本和J.数学。纯粹的达成。,分别。这个项目的大部分工作都是与Ruzhansky先生共同完成的。

In this project we obtained representation formula and dispersive estimates for linear hyperbolic equations via asymptotic integrations method, which was published from C. R. Acad. Sci. Paris and Adv. Differential Equation. There is another result; global existence of solutions for the Kirchhoff equation in exterior domains, and Kirchhoff systems with small data. These results were published from J. Math. Soc. Japan and J. Math. Pures Appl., respectively. Most of this project were done by the joint work with M. Ruzhansky.