Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions
文献类型：期刊论文
| 作者 | Ding, Juntang1; Guo, Bao-Zhu1,2,3
|
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2010-08-01 |
| 卷号 | 60期号:3页码:670-679 |
| 关键词 | Parabolic equation Global solution Blow-up solution Neumann boundary condition |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2010.05.015 |
| 英文摘要 | In this paper, we study the global and blow-up solutions of the following problem: {(h(u))(t) = del center dot (a(u, t)b(x)del u) + g(t)f(u) in D x (0, T), partial derivative u/partial derivative n = 0 on partial derivative D x (0, T), u(x, 0) = u(0)(x) > 0 in (D) over bar, where D subset of R(N) is a bounded domain with smooth boundary partial derivative D. By constructing auxiliary functions and using maximum principles and comparison principles, the sufficient conditions for the existence of global solution, an upper estimate of the global solution, the sufficient conditions for the existence of the blow-up solution, an upper bound for the "blow-up time", and an upper estimate of the "blow-up rate" are specified under some appropriate assumptions on the functions a. b, f. g. and h. (C) 2010 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China ; Natural Science Foundation of Shanxi Province ; Foundation of Shanxi Province for Overseas Returned Scholars |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000280935400026 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10194]  |
| 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.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa |
| 推荐引用方式 GB/T 7714 | Ding, Juntang,Guo, Bao-Zhu. Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2010,60(3):670-679. |
| APA | Ding, Juntang,&Guo, Bao-Zhu.(2010).Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions.COMPUTERS & MATHEMATICS WITH APPLICATIONS,60(3),670-679. |
| MLA | Ding, Juntang,et al."Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions".COMPUTERS & MATHEMATICS WITH APPLICATIONS 60.3(2010):670-679. |
入库方式： OAI收割
来源：数学与系统科学研究院
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