Graduate Student Seminar

Title:   Local and global existence of solution to Nonlinear Schrodinger's equation with mass-critical nonlinearity
Speaker: Debdeep Bhattacharya 

Abstract: We shall consider the nonlinear Schrodinger's equation with the power of nonlinearity being 1+4/n, where n is the dimension of the spacial variable. Using Strichartz's estimate and Banach's contraction mapping principle we shall prove the existence and uniqueness of the solution for finite time. Additionally, the solution exists for any time if we assume that the initial data has sufficiently small mass.