Display Abstract

Title The global existence of solution to the damped wave equations

Name Xiongfeng Yang
Country Peoples Rep of China
Email xf-yang@sjtu.edu.cn
Submit Time 2014-02-26 21:08:15
Special Session 37: Global or/and blowup solutions for nonlinear evolution equations and their applications
We consider the Cauchy problem for the system of weakly coupled semi-linear damped wave equations with small initial data. The global existence of the solution has been proved by constructing a contract mapping in some suitably function space in the supercritical case, which generalizes the results to the system in dimensional space $n\leq 5$. The proof is based on the estimates of solution operator for the linear damped wave equation.