The asymptotic theory of initial value problems for semilinear pertubed wave equations in two space dimensions

The asymptotic theory of initial value problems for semilinear ware equations in two space dimensions was dealt with. The well-posedness and vaildity of formal approximations on a long time scale were discussed in the twice continuous classical space. These results describe the behavior of long time existence for the validity of formal approximations. And an application of the asymptotic theory is given to analyze a special wave equation in two space dimensions. Foundation item: Sichuan Youth Foundation (1999-09) Biography: LAI Shao-yong (1965−), Associate Professor