Scattering and blow up for the two-dimensional focusing quintic nonlinear Schrödinger equation
Scattering and blow up for the two-dimensional focusing quintic nonlinear Schrödinger equation
Using the concentration-compactness method and the localized virial type arguments, we study the behavior of H 1 solutions to the focusing quintic NLS in R 2 , namely,Denoting by M [u] and E[u], the mass and energy of a solution u, respectively, and Q the ground state solution to -Q+∆Q+|Q| …