On blowup solutions to the focusing mass-critical nonlinear fractional Schrodinger equation

van Duong Dinh (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

In this paper we study dynamical properties of blowup solutions to the focusing mass-critical nonlinear fractional Schrödinger 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 blowup solutions.

Domaines: Equations aux dérivées partielles [math.AP]

van Duong Dinh. On blowup solutions to the focusing mass-critical nonlinear fractional Schrodinger equation. Communications on Pure and Applied Analysis, 2018, 18 (2), pp.689-708. ⟨hal-01692254⟩