Regularity results for the generalized Beltrami system
文献类型：期刊论文
| 作者 | Zheng, SZ |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2004-04-01 |
| 卷号 | 20期号:2页码:293-304 |
| 关键词 | weakly K-quasiregular generalized Beltrami system very weak solutions Hodge decomposition generalized reverse Holder inequality |
| ISSN号 | 1439-8516 |
| 英文摘要 | For the generalized Beltrami system with two characteristic matrices, we deal with the regularity of its very weak solutions in the Sobolev class W-loc(1,r) (Omega, R-n) (1 < r < n). By changing the generalized Beltrami system into a class of a divergent elliptic system with nonhomogeneous items, we obtain that each of its very weak solutions is essentially a classical weak solution of a usual Sobolev class. Furthermore, we also establish a higher regularity of its weak solution if the regularity hypotheses of two characteristic matrices are improved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000222607700011 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19199]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zheng, SZ |
| 作者单位 | 1.No Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, SZ. Regularity results for the generalized Beltrami system[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(2):293-304. |
| APA | Zheng, SZ.(2004).Regularity results for the generalized Beltrami system.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(2),293-304. |
| MLA | Zheng, SZ."Regularity results for the generalized Beltrami system".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.2(2004):293-304. |
入库方式： OAI收割
来源：数学与系统科学研究院
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