Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source

doi:10.1016/j.aml.2018.12.020

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	Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source
	Cao, Jianxiong 3,4; Song, Guojie 2; Wang, Jie 4; Shi, Qihong 4; Sun, Sujing 1
刊名	Applied Mathematics Letters
	2019-05-01
卷号	91 页码:201-206
关键词	Diffusion Partial differential equations Blow-up Blow-up of solution Bounded solution Diffusion equations Existence of global solution Global solutions Long time behavior Nonlinear reaction
ISSN号	08939659
DOI	10.1016/j.aml.2018.12.020
英文摘要	This paper investigates the blow-up of solutions for a time fractional nonlinear reaction–diffusion equation with weakly spatial source. We first derive two sufficient conditions under which the solutions may blow up in finite time. Then, we prove the existence of global solution when the initial data are small enough. Moreover, the long time behavior of bounded solutions will be analyzed. © 2018 Elsevier Ltd
WOS研究方向	Mathematics
语种	英语
出版者	Elsevier Ltd
WOS记录号	WOS:000459230600029
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/114807]
专题	理学院
作者单位	1.College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao; 266000, China 2.School of Sciences, Southwest Petroleum University, Chengdu; 610500, China; 3.State Key Laboratory of Advanced Processing and Recycling of Non-ferrous Metals, Lanzhou; 730050, China; 4.Department of Mathematics, Lanzhou University of Technology, Lanzhou; 730050, China;
推荐引用方式 GB/T 7714	Cao, Jianxiong,Song, Guojie,Wang, Jie,et al. Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source[J]. Applied Mathematics Letters,2019,91:201-206.
APA	Cao, Jianxiong,Song, Guojie,Wang, Jie,Shi, Qihong,&Sun, Sujing.(2019).Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source.Applied Mathematics Letters,91,201-206.
MLA	Cao, Jianxiong,et al."Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source".Applied Mathematics Letters 91(2019):201-206.