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BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE
Shi, Qihong2; Peng, Congming1; Wang, Qingxuan3
刊名DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
2021
关键词Test function Weak solution Global nonexistence Lifespan of solutions
ISSN号1531-3492
DOI10.3934/dcdsb.2021304
英文摘要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.
WOS研究方向Mathematics
语种英语
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号WOS:000737004600001
内容类型期刊论文
源URL[http://ir.lut.edu.cn/handle/2XXMBERH/154932]  
专题理学院
作者单位1.Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China;
2.Lanzhou Univ Technol, Dept Math, Lanzhou 730050, Peoples R China;
3.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
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,2021.
APA Shi, Qihong,Peng, Congming,&Wang, Qingxuan.(2021).BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.
MLA Shi, Qihong,et al."BLOWUP RESULTS FOR THE FRACTIONAL SCHRODINGER EQUATION WITHOUT GAUGE INVARIANCE".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2021).
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