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 |
DOI | 10.3934/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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