ON BLOW-UP SOLUTIONS TO THE FOCUSING MASS-CRITICAL NONLINEAR FRACTIONAL SCHRODINGER EQUATION

摘要

In this paper we study dynamical properties of blow-up solutions to the focusing mass-critical nonlinear fractional Schrodinger equation. We establish a profile decomposition and a compactness lemma related to the equation. As a result, we obtain the L-2-concentration and the limiting profile with minimal mass of blow-up solutions.