BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE

doi:10.3934/dcdsb.2021304

IR > 理学院

	BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE
	Shi, Qihong1 ; Peng, Congming 2; Wang, Qingxuan 3
	2022-10
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	27 期号:10 页码:6009-6022
摘要	This paper is concerned with the nonexistence of global solutions to the fractional Schrodinger equations with order alpha and nongauge power type nonlinearity vertical bar u vertical bar(p) for any space dimensions, where alpha is an element of E (0, 2] is assumed to be any fractional numbers. A modified test function is employed to overcome some difficulties caused by the fractional operator and to establish blowup results. Some restrictions with respect to alpha, p and initial data in the previous literature are removed.
关键词	Test function Weak solution Global nonexistence Lifespan of solutions
DOI	10.3934/dcdsb.2021304
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000737004600001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
来源库	WOS
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/154932
专题	理学院
通讯作者	Shi, Qihong
作者单位	1.Lanzhou Univ Technol, Dept Math, Lanzhou 730050, Peoples R China; 2.Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China; 3.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Shi, Qihong,Peng, Congming,Wang, Qingxuan. BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2022,27(10):6009-6022.
APA	Shi, Qihong,Peng, Congming,&Wang, Qingxuan.(2022).BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,27(10),6009-6022.
MLA	Shi, Qihong,et al."BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 27.10(2022):6009-6022.