%0 Journal Article
%T Cubic nonlinear Schrodinger equation on three dimensional balls with radial data
%A Ramona Anton
%J Mathematics
%D 2006
%I arXiv
%X We prove wellposedness of the Cauchy problem for the cubic nonlinear Schrodinger equation with Dirichlet boundary conditions and radial data on 3D balls. The main argument is based on a bilinear eigenfunction estimate and the use of $X^{s,b}$ spaces. The last part presents a first attempt to study the non radial case. We prove bilinear estimates for the linear Schrodinger flow with particular initial data.
%U http://arxiv.org/abs/math/0608689v1