Title: Existence, uniqueness, and bifurcation of solutions for Schrodinger systems

Speaker: Professor Zhitao Zhang,  Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Time and venue: December 12, 2016,  5:00-6:00pm,  Room 316 of Environmental building

Abstract：We are concerned with the important system of nonlinear Schrodinger equations with linear and (or) nonlinear couplings which arises from Bose-Einstein condensates, we prove  phase segregation results of the limit competition case, we use variational methods to prove the existence of ground state and bound state solutions of the systems, and use bifurcation theory to get structure of positive solutions. We obtain uniqueness of positive solution via synchronized solution techniques.