| Self-similar solutions for a quenching problem with spatially dependent nonlinearity | |
|---|---|
| 學年 | 105 |
| 學期 | 1 |
| 出版（發表）日期 | 2016-12-01 |
| 作品名稱 | Self-similar solutions for a quenching problem with spatially dependent nonlinearity |
| 作品名稱（其他語言） | |
| 著者 | Jong-Shenq Guo; Yoshihisa Morita; Shoji Yotsutani |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Nonlinear Analysis: Theory, Methods & Applications 147, p.45-62 |
| 摘要 | This paper is devoted to the study of the self-similar solutions for a semilinear parabolic equation with spatially dependent nonlinearity which arises in the model of micro-electro mechanical system. We first provide a result on the non-existence of slow orbit for a certain range of parameters. Next, we prove the existence of backward solutions with the desired polynomial growth condition at infinity to the associated equation by a fixed point argument. Then we give a detailed analysis of the behavior of global solutions at the origin. Finally, as an application of the above results, we prove a uniqueness theorem. |
| 關鍵字 | Self-similar solution;Slow orbit;Pohozaev's type identity;Backward solution |
| 語言 | en |
| ISSN | 0362-546X |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Jong-Shenq Guo |
| 審稿制度 | 是 |
| 國別 | GBR |
| 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/987654321/108413 ) |
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