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arXiv · 1208.2303

Profile decompositions and Blowup phenomena of mass critical fractional Schr\"odinger equations

Yonggeun Cho·Gyeongha Hwang·Soonsik Kwon·Sanghyuk Lee
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Abstract

We study, under the radial symmetry assumption, the solutions to the fractional Schr\"odinger equations of critical nonlinearity in $\mathbb R^{1+d}, d \geq 2$, with L\'{e}vy index ${2d}/({2d-1}) < \al < 2$. We firstly prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlineartity.

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Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon, Sanghyuk Lee. 2012-08-11. Profile decompositions and Blowup phenomena of mass critical fractional Schr\"odinger equations. https://arxiv.org/abs/1208.2303

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