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arxiv: 1801.08049 · v2 · pith:AD4L5YT3new · submitted 2018-01-24 · 🧮 math.AP

On Blowup solutions to the focusing mass-critical nonlinear fractional Schr\"odinger equation

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keywords blowupequationsolutionsfocusingfractionalmass-criticalnonlinearodinger
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In this paper we study dynamical properties of blowup solutions to the focusing mass-critical nonlinear fractional Schr\"odinger 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.

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