Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension
Mass Concentration Phenomenon for the Quintic Nonlinear Schrödinger Equation in One Dimension
We consider the $L^{2}$-critical quintic focusing nonlinear Schrödinger equation (NLS) on ${\bf R}$. It is well known that $H^{1}$ solutions of the aforementioned equation blow up in finite time. In higher dimensions, for $H^{1}$ spherically symmetric blow-up solutions of the $L^{2}$-critical focusing NLS, there is a minimal amount of concentration …