HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS
文献类型：期刊论文
| 作者 | Zhu, Xiaobao |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2011-05-01 |
| 卷号 | 139期号:5页码:1637-1644 |
| 关键词 | Gradient estimate fast diffusion equation Lionville theorem |
| ISSN号 | 0002-9939 |
| 英文摘要 | Let M be a complete noncompact Riemannian manifold of dimension n. In this paper, we derive a local gradient estimate for positive solutions of fast diffusion equations partial derivative(t)u = Delta u(alpha), 1 - 2/n < alpha < 1 on M x (-infinity, 0]. We also obtain a theorem of Lionville type for positive solutions of the fast diffusion equation. |
| 语种 | 英语 |
| WOS记录号 | WOS:000290511400012 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13007]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhu, Xiaobao |
| 作者单位 | Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Xiaobao. HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2011,139(5):1637-1644. |
| APA | Zhu, Xiaobao.(2011).HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,139(5),1637-1644. |
| MLA | Zhu, Xiaobao."HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 139.5(2011):1637-1644. |
入库方式： OAI收割
来源：数学与系统科学研究院
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