Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case
文献类型：期刊论文
| 作者 | Li, Ze1; Ma, Xiao2; Zhao, Lifeng2 |
| 刊名 | DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2018 |
| 卷号 | 15期号:4页码:283-336 |
| 关键词 | wave map equation hyperbolic spaces asymptotic stability harmonic maps curved spacetime |
| ISSN号 | 1548-159X |
| 英文摘要 | In this paper, we prove that the small energy harmonic maps from H-2 to H-2 are asymptotically stable under the wave map equation in the subcritical perturbation class. This result may be seen as an example supporting the soliton resolution conjecture for geometric wave equations without equivariant assumptions on the initial data. In this paper, we construct Tao's caloric gauge in the case when nontrivial harmonic map occurs. With the "dynamic separation" the master equation of the heat tension field appears as a semilinear magnetic wave equation. By the endpoint and weighted Strichartz estimates for magnetic wave equations obtained by the first author [38], the asymptotic stability follows by a bootstrap argument. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000452189000003 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31952]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Ze |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing, Peoples R China 2.Univ Sci & Technol China, Dept Math, Hefei, Anhui, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Ze,Ma, Xiao,Zhao, Lifeng. Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case[J]. DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS,2018,15(4):283-336. |
| APA | Li, Ze,Ma, Xiao,&Zhao, Lifeng.(2018).Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case.DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS,15(4),283-336. |
| MLA | Li, Ze,et al."Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case".DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 15.4(2018):283-336. |
入库方式： OAI收割
来源：数学与系统科学研究院
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