Dispersion for the Kirchhoff equation

本文利用C。R. Acad. Sci.巴黎和高级微分方程。还有另一个结果：克希霍夫方程在外部区域上解的整体存在性，以及具有小数据的克希霍夫系统。这些结果发表于J. Math. Soc. Japan和J. Math. Pures Appl.，分别本课题的大部分工作是与M.鲁占斯基

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.