C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays
文献类型：期刊论文
| 作者 | Chu, Jianchun1; Tosatti, Valentino2; Weinkove, Ben2 |
| 刊名 | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2018 |
| 卷号 | 43期号:2页码:292-312 |
| 关键词 | C-1,C-1 regularity complex Monge-Ampere equations geodesic rays quasi-psh envelopes |
| ISSN号 | 0360-5302 |
| DOI | 10.1080/03605302.2018.1446167 |
| 英文摘要 | We prove a C-1,C-1 estimate for solutions of complex Monge-Ampere equations on compact Kahler manifolds with possibly nonempty boundary, in a degenerate cohomology class. This strengthens previous estimates of Phong-Sturm. As applications we deduce the local C-1,C-1 regularity of geodesic rays in the space of Kahler metrics associated to a test configuration, as well as the local C-1,C-1 regularity of quasi-psh envelopes in nef and big classes away from the non-Kahler locus. |
| 资助项目 | NSF[DMS-1610278] ; NSF[DMS-1406164] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000428244800004 |
| 出版者 | TAYLOR & FRANCIS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30125]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tosatti, Valentino |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing, Peoples R China 2.Northwestern Univ, Dept Math, 2033 Sheridan Rd, Evanston, IL 60208 USA |
| 推荐引用方式 GB/T 7714 | Chu, Jianchun,Tosatti, Valentino,Weinkove, Ben. C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2018,43(2):292-312. |
| APA | Chu, Jianchun,Tosatti, Valentino,&Weinkove, Ben.(2018).C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,43(2),292-312. |
| MLA | Chu, Jianchun,et al."C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 43.2(2018):292-312. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。