Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions
文献类型：期刊论文
| 作者 | Wang, S |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2002-07-01 |
| 卷号 | 182期号:2页码:431-469 |
| 关键词 | doubly nonlinear degenerate parabolic systems nonlinear boundary conditions non-Newtonian flow global solution blow up in finite time |
| ISSN号 | 0022-0396 |
| DOI | 10.1006/jdeq.2001.4101 |
| 英文摘要 | In this paper, we study the global existence and the global nonexistence of doubly nonlinear degenerate parabolic systems with nonlinear boundary conditions. We first prove a local existence result by the regularization method. Next, we construct a weak comparison principle. Then we discuss the large time behavior of solutions by using a modified tipper and lower solution methods and constructing various upper and lower solutions. Necessary and sufficient conditions oil the global existence of all positive (weak) solutions are obtained. (C) 2002 Elsevier Science (USA). |
| 语种 | 英语 |
| WOS记录号 | WOS:000177010500006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16932]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, S |
| 作者单位 | 1.Henan Univ, Dept Math, Kaifeng 475001, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, S. Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,182(2):431-469. |
| APA | Wang, S.(2002).Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions.JOURNAL OF DIFFERENTIAL EQUATIONS,182(2),431-469. |
| MLA | Wang, S."Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions".JOURNAL OF DIFFERENTIAL EQUATIONS 182.2(2002):431-469. |
入库方式： OAI收割
来源：数学与系统科学研究院
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