| Title | Improved local smoothing estimate for the wave equation in higher dimensions |
| Author | |
| Corresponding Author | Xi，Yakun |
| Publication Years | 2023-05-01
|
| DOI | |
| Source Title | |
| ISSN | 0022-1236
|
| EISSN | 1096-0783
|
| Volume | 284Issue:9 |
| Abstract | In this paper, we establish the sharp k-broad estimate for a class of phase functions satisfying the homogeneous convex conditions. As an application, we obtain improved local smoothing estimates for the half-wave operator in dimensions n≥3. As a byproduct, we also generalize the restriction estimates of Ou–Wang [21] to a broader class of phase functions. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Others
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics
|
| WOS Accession No | WOS:000952553500001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/497230 |
| Department | Department of Mathematics |
| Affiliation | 1.School of Mathematical Sciences,Capital Normal University,Beijing,100048,China 2.Department of Mathematics,International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 3.Institute for Applied Physics and Computational Mathematics,Beijing,China 4.School of Mathematical Sciences,Zhejiang University,Hangzhou,310027,China |
| Recommended Citation GB/T 7714 |
Gao，Chuanwei,Liu,Bochen,Miao，Changxing,et al. Improved local smoothing estimate for the wave equation in higher dimensions[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2023,284(9).
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| APA |
Gao，Chuanwei,Liu,Bochen,Miao，Changxing,&Xi，Yakun.(2023).Improved local smoothing estimate for the wave equation in higher dimensions.JOURNAL OF FUNCTIONAL ANALYSIS,284(9).
|
| MLA |
Gao，Chuanwei,et al."Improved local smoothing estimate for the wave equation in higher dimensions".JOURNAL OF FUNCTIONAL ANALYSIS 284.9(2023).
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| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| impro.pdf（737KB） | Restricted Access | -- | ||||
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