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On blow-up solutions to the focusing mass-critical nonlinear fractional Schrödinger equation
2019
Communications on Pure and Applied Analysis
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In this paper we study dynamical properties of blow-up 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 blow-up solutions. 2000 Mathematics Subject Classification. Primary: 35B44; Secondary: 35Q55.
doi:10.3934/cpaa.2019034
fatcat:ho5kxrhmsbbepfayxcf7uc4him