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arXiv · 1401.5554

Profile decompositions of fractional Schrödinger equations with angularly regular data

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

We study the fractional Schrödinger equations in $\mathbb R^{1+d}, d \geq 3$ of order ${d}/({d-1}) < \al < 2$. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results \cite{chkl2} to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.

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Yonggeun Cho, Gyeongha Hwang, Soonsik Kwon, Sanghyuk Lee. 2014-02-03. Profile decompositions of fractional Schrödinger equations with angularly regular data. https://arxiv.org/abs/1401.5554

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