The instability of Bourgain-Wang solutions for the L^2 critical NLS

Frank Merle, Pierre Raphael, Jeremie Szeftel

We consider the two dimensional $L^2$ critical nonlinear Schrödinger equation $i\pa_tu+Δu+u|u|^2=0$. In the pioneering work \cite{BW}, Bourgain and Wang have constructed smooth sol…