Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions
文献类型：期刊论文
| 作者 | Gao, Xuyan1; Ding, Juntang1,2; Guo, Bao-Zhu2,3
|
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2009 |
| 卷号 | 88期号:2页码:183-191 |
| 关键词 | quasilinear parabolic equation blow-up solution global solution Neumann boundary conditions blow-up time |
| ISSN号 | 0003-6811 |
| DOI | 10.1080/00036810802713818 |
| 英文摘要 | Using the upper and lower solution techniques and Hopf's maximum principle, the sufficient conditions for the existence of blow-up positive solution and global positive solution are obtained for a class of quasilinear parabolic equations subject to Neumann boundary conditions. An upper bound for the 'blow-up time', an upper estimate of the 'blow-up rate', and an upper estimate of the global solution are also specified. |
| 资助项目 | Mathematical Tianyuan Foundation of China[10726041] ; Natural Science Foundation of Shanxi Province[2006011001] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000266276800004 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8501]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Ding, Juntang |
| 作者单位 | 1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gao, Xuyan,Ding, Juntang,Guo, Bao-Zhu. Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions[J]. APPLICABLE ANALYSIS,2009,88(2):183-191. |
| APA | Gao, Xuyan,Ding, Juntang,&Guo, Bao-Zhu.(2009).Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions.APPLICABLE ANALYSIS,88(2),183-191. |
| MLA | Gao, Xuyan,et al."Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions".APPLICABLE ANALYSIS 88.2(2009):183-191. |
入库方式： OAI收割
来源：数学与系统科学研究院
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