| Blowing up at zero points of potential for an initial boundary value problem | |
|---|---|
| 學年 | 99 |
| 學期 | 1 |
| 出版（發表）日期 | 2011-01-01 |
| 作品名稱 | Blowing up at zero points of potential for an initial boundary value problem |
| 作品名稱（其他語言） | |
| 著者 | Guo, Jong-Shenq; Shimojo, Masahiko |
| 單位 | 淡江大學數學學系 |
| 出版者 | Springfield: American Institute of Mathematical Sciences |
| 著錄名稱、卷期、頁數 | Communications on Pure and Applied Analysis 10(1), pp.161-177 |
| 摘要 | We study nonnegative radially symmetric solutions for a semilinear heat equation in a ball with spatially dependent coefficient which vanishes at the origin. Our aim is to construct a solution that blows up at the origin where there is no reaction. For this, we first prove that the blow-up is complete, if the origin is not a blow-up point and if there is no blow-up point on the boundary. Then we prove that a threshold solution exists such that it blows up in finite time incompletely and there is no blow-up point on the boundary. On the other hand, we prove that any zero of nonnegative potential is not a blow-up point for a more general problem under the assumption that the solution is monotone in time. |
| 關鍵字 | Blow up; Potential; Semilinear heat equation; Threshold solution |
| 語言 | en |
| ISSN | 1534-0392 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Guo,Jong-shenq |
| 審稿制度 | 是 |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58127 ) |
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