Profile decompositions of fractional Schr枚dinger equations with angularly regular data

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• 作者：Yonggeun Cho ; Gyeongha Hwang ; Soonsik Kwon ; Sanghyuk Lee
• 关键词：35Q55 ; 35Q40
• 刊名：Journal of Differential Equations
• 出版年：15 April, 2014
• 年：2014
• 卷：256
• 期：8
• 页码：3011-3037
• 全文大小：376 K

文摘

We study the fractional Schr枚dinger equations in , , of order . Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.