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arXiv · 1801.08049

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

Van Duong Dinh
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Abstract

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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Van Duong Dinh. 2018-01-24. On Blowup solutions to the focusing mass-critical nonlinear fractional Schr\"odinger equation. https://arxiv.org/abs/1801.08049

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