Venue: On a system of Schrodinger equations with quadratic interaction

Speaker: Professor Tohru Ozawa (Department of Applied Physics, Waseda University, Japan)

Time: 14:00-16:00,  May 4,2012, Friday

Location: Second Floor, Sir Run Run Shaw Business Administration Building,  Yuquan Campus, Zhejiang University, Hangzhou, China

Abstract:

This is based on my recent joint work with Nakao Hayashi and Kazunaga Tanaka. We consider a system of Schr"odinger equations with quadratic interaction. The Cauchy problem, the existence of ground states, and small data scatteling will be presented in some detail. A special attention is paid on a relationship between the long-time behavior of solutions and mass resonance condition.