Speaker: Shijie Dong (Fudan University)

Time:  2020-11-04, 15:00

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

We are interested in studying the coupled wave and Klein-Gordon equations with null quadratic nonlinearities in $R^{2+1}$. We aim to establish the small data global existence result, and in addition, we also illustrate the sharp pointwise asymptotic behaviour of the solution to the coupled system. The initial data are not required to have compact support, and this is achieved by applying the Alinhac's ghost weight method to both the wave and the Klein-Gordon equations.