三维空间中半线性波动方程组的整体解和自相似解

Global and Self-Similar Solutions for Systems of Semilinear Wave Equations in Three Space Dimensions

本文证明了一类半线性波动方程组Cauchy问题整体解的存在唯一性．特别地,证明了自相似解的存在唯一性．同时还得到了渐近自相似解．

In this paper we prove the existence and uniqueness for the global solutions of the Cauchy problem of the coupled system of semilinear wave equations. In particular, we show the existence and uniqueness of self-similar solutions. Also, we build some asymptotically self-similar solutions.