Profile decompositions and blowup phenomena of mass critical fractional Schr?dinger equations

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• 作者：Yonggeun Cho^a ; ^{changocho@jbnu.ac.kr} ; Gyeongha Hwang^b ; ^{g_hwang@postech.ac.kr} ; Soonsik Kwon^c ; ^{soonsikk@kaist.edu} ; Sanghyuk Lee^d ; ^{shklee@snu.ac.kr}
• 关键词：35Q55 ; 35Q40
• 刊名：Nonlinear Analysis
• 出版年：2013
• 出版时间：July, 2013
• 年：2013
• 卷：86
• 期：Complete
• 页码：12-29
• 全文大小：467 K

文摘

We study, under the radial symmetry assumption, the solutions to the fractional Schr?dinger equations of critical nonlinearity in , with L¨¦vy index . We first 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 nonlinearity.