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

2018/01/24 by Dinh, Van Duong
#35B44 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.08049

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 L²-concentration and the limiting profile with minimal mass of blowup solutions.

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