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| Title: | Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition |
| Authors: | 符聖珍 Fu,Sheng-Chen Guo,Jong-Shenq Tsai,Je-Chiang |
| Contributors: | 應數系 |
| Date: | 2003 |
| Issue Date: | 2008-12-24 13:37:18 (UTC+8) |
| Abstract: | We study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear boundary condition. Under certain conditions, we prove that the blow-up point occurs only at the boundary. Then, by applying the well-known method of Giga-Kohn, we derive the time asymptotic of solutions near the blow-up time. Finally, we prove that the blow-up is complete. |
| Relation: | Tohoku Mathematical Journal,55,565-581 |
| Data Type: | article |
| Appears in Collections: | [應用數學系] 期刊論文 |
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