On Blowup solutions to the focusing mass-critical nonlinear fractional Schrödinger equation

Abstract

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.

arXiv comment18 pages, revised version, to appear in Commun. Pure Appl. Anal. 2018

References in corpus (1)

• Well-posedness of nolinear fractional Schrödinger and wave equations in Sobolev spaces