GLOBAL AND BLOW-UP SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH A GRADIENT TERM
文献类型：期刊论文
| 作者 | Ding, Juntang1,2; Guo, Bao-Zhu2,3
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| 刊名 | HOUSTON JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2011 |
| 卷号 | 37期号:4页码:1265-1277 |
| 关键词 | Parabolic equation gradient term global solution blow-up solution |
| ISSN号 | 0362-1588 |
| 英文摘要 | In this paper, we are concerned with the following nonlinear parabolic equation with a gradient term and Neumann boundary condition: {(b(u))(t) = del . (a(u)del u) + f(x, u,vertical bar del u vertical bar(2), t) 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 (N >= 2) is a bounded domain of R-N with smooth boundary partial derivative D. The upper and lower solution technique is adopted in investigations. The sufficient conditions for the existence of global positive solution and an upper estimate of global solution are given. Moreover, under some appropriate assumptions on the functions a, b, and f, we prove the existence of blow-up positive solution. An upper bound of "blow-up time" is also presented. |
| 资助项目 | National Natural Science Foundation of China[61074048] ; National Natural Science Foundation of China[60974032] ; National Natural Science Foundation of China[61174082] ; National Natural Science Foundation of China[60874019] ; National Basic Research Program of China[2011CB808002] ; Shanxi Scholarship Council of China[2011-011] ; National Research Foundation of South Africa |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000300563600015 |
| 出版者 | UNIV HOUSTON |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11825]  |
| 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 Johannesburg, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Juntang,Guo, Bao-Zhu. GLOBAL AND BLOW-UP SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH A GRADIENT TERM[J]. HOUSTON JOURNAL OF MATHEMATICS,2011,37(4):1265-1277. |
| APA | Ding, Juntang,&Guo, Bao-Zhu.(2011).GLOBAL AND BLOW-UP SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH A GRADIENT TERM.HOUSTON JOURNAL OF MATHEMATICS,37(4),1265-1277. |
| MLA | Ding, Juntang,et al."GLOBAL AND BLOW-UP SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH A GRADIENT TERM".HOUSTON JOURNAL OF MATHEMATICS 37.4(2011):1265-1277. |
入库方式： OAI收割
来源：数学与系统科学研究院
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