| Singularities for semilinear heat equation with spatially dependent potential | |
|---|---|
| 學年 | 103 |
| 學期 | 1 |
| 發表日期 | 2014-09-01 |
| 作品名稱 | Singularities for semilinear heat equation with spatially dependent potential |
| 作品名稱（其他語言） | |
| 著者 | Guo, Jong-Shenq |
| 作品所屬單位 | 淡江大學數學學系 |
| 出版者 | |
| 會議名稱 | 6th Euro-Japanese Workshop on Blow-up |
| 會議地點 | Tokyo, Japan |
| 摘要 | We consider nonnegative solutions for a semilinear heat equation with spatially dependent nonnegative potential. The domain under consideration may be either the whole space or a bounded smooth domain. In the case of nonempty boundary, we impose the zero Dirichlet boundary condition. We assume that the potential function may vanish at some points, so that there are no reactions at these points. Our aim is to study whether these zeros of the potential can be singular points, if the solution develops singularities in finite time. Intuitively, it seems that the answer is negative. However, the answer can be either positive or negative. We shall focus on two types of singularity: blow-up and quenching. Some open questions shall also be given. |
| 關鍵字 | |
| 語言 | en |
| 收錄於 | |
| 會議性質 | 國際 |
| 校內研討會地點 | |
| 研討會時間 | 20140901~20140905 |
| 通訊作者 | |
| 國別 | JPN |
| 公開徵稿 | |
| 出版型式 | |
| 出處 | |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/99697 ) |
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