Global BV entropy solutions to the Gauss-Codazzi system
文献类型：期刊论文
| 作者 | Cao, Wentao2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2016-12-15 |
| 卷号 | 444期号:2页码:1015-1026 |
| 关键词 | BV entropy solutions Gauss-Codazzi system System of balance laws Metric |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2016.07.006 |
| 英文摘要 | The Gauss-Codazzi system for the given metric whose Gauss curvature is negative, is considered in the present paper. We provide some suitable conditions on the given metric such that the system admits a global BV entropy solution. Our main approach is applying the method of seeking global BV entropy solutions to the hyperbolic system of balance laws to the Gauss-Codazzi system. The global existence of BV solutions to the Gauss-Codazzi system yields a C-1,C-1 isometric immersion of two dimensional manifold into R-3. (C) 2016 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000381956400011 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23571]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cao, Wentao |
| 作者单位 | 1.Inst Appl Math, AMSS, CAS, Beijing 100190, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Wentao. Global BV entropy solutions to the Gauss-Codazzi system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016,444(2):1015-1026. |
| APA | Cao, Wentao.(2016).Global BV entropy solutions to the Gauss-Codazzi system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,444(2),1015-1026. |
| MLA | Cao, Wentao."Global BV entropy solutions to the Gauss-Codazzi system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 444.2(2016):1015-1026. |
入库方式： OAI收割
来源：数学与系统科学研究院
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