期刊論文
| 學年 | 107 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 2018-11-15 |
| 作品名稱 | Excluding blowup at zero points of the potential by means of Liouville-type theorems |
| 作品名稱（其他語言） | |
| 著者 | Jong-Shenq Guo; Philippe Souplet |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Journal of Differential Equations 265(10), p.4942-4964 |
| 摘要 | We prove a local version of a (global) result of Merle and Zaag about ODE behavior of solutions near blowup points for subcritical nonlinear heat equations. As an application, for the equation , we rule out the possibility of blowup at zero points of the potential V for monotone in time solutions when for large u, both in the Sobolev subcritical case and in the radial case. This solves a problem left open in previous work on the subject. Suitable Liouville-type theorems play a crucial role in the proofs. |
| 關鍵字 | Blowup;Potential;Liouville-type theorem |
| 語言 | en_US |
| ISSN | |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/115912 ) |