Final state problem for a system of nonlinear Schrödingier equations with mass resonance

Date
2015/10/30 Fri 15:30 - 17:30
Room
3号館251号室
Speaker
瓜屋 航太
Affiliation
東北大学大学院理学研究科
Abstract

We consider the asymptotic behavior of the solution to a system of quadratic nonlinear Schrödinger equations in two dimensions. It is known that quadratic nonlinearities are critical in the sense of the asymptotic behavior of the solution. We show the existence of the solution to the final state problem by imposing an appropriate asymptotic behavior of the solution. In particular, we construct the asymptotic behavior of the solution by using the Jacobi elliptic functions.