| Dead-core rates for a parabolic equation with strong absorption | |
|---|---|
| 學年 | 102 |
| 學期 | 1 |
| 發表日期 | 2013-09-17 |
| 作品名稱 | Dead-core rates for a parabolic equation with strong absorption |
| 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 | One Forum, Two Cities 2013: Aspect of Nonlinear PDEs |
| 會議地點 | Tokyo, Japan |
| 摘要 | We study the dead-core rates for the initial boundary value problem of various parabolic equations with strong absorption. Unlike in many other related problems of singularity formation, we show that the temporal rate of formation of the dead-core is not self-similar for both heat and fast diffusion equations. The proofs rely on self-similar variables and require a delicate use of the Zelenyak method. Moreover, we give some initial data so that the dead-core rate is self-similar for the case of slow diffusion. Some open problems shall also be given. |
| 關鍵字 | |
| 語言 | en |
| 收錄於 | |
| 會議性質 | |
| 校內研討會地點 | |
| 研討會時間 | 20130917~20130920 |
| 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/987654321/99695 ) |
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