PDE Seminar (2016/5/20): Global dynamics above the ground state energy for the combined powertype nonlinear Schr\”{o}dinger equations with energycritical growth at low frequencies, Hiroaki Kikuchi (Tsuda College)
 Date

2016520 16:30 
2016520 18:00
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Hiroaki Kikuchi (Tsuda College)

 In this talk, we consider the nonlinear Schr\"{o}dinger equations with combined powertype nonlinearity which includes the energycritical growth. Our aim is to classify the asymptotic behavior of the solutions. First, we review several results concerning the classification of the solutions whose energy is less than that of the ground state. Next, we consider the solutions which have a slightly greater than that of the ground state. In this case, we obtain a socalled nineset theory developed by Nakanishi and Schlag (2012). This talk is based on a joint work with T. Akahori(Shizuoka), S. Ibrahim(Victoria) and H. Nawa (Meiji).