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| Field |
Value |
| Title: | DEAD-CORE AT TIME INFINITY FOR A HEAT EQUATION WITH STRONG ABSORPTION |
| Authors: | 符聖珍
Fu,Sheng-Chen
Guo,Jong-Shenq
Wu,Chin-Chin |
| Contributors: | 應數系 |
| Keywords: | Heat equation;Strong absorption;Dead-core;Dead-core rate |
| Date: | 2009.08 |
| Issue Date: | 2014-08-07 11:34:52 (UTC+8) |
| Abstract: | We study an initial boundary value problem for a heat equation with strong absorption. We first prove that the solution of this problem stays positive for any finite time and converges to the unique steady state for a large class of initial data. This gives an example in which the dead-core is developed in infinite time. Then some estimates of the dead-core rate(s) are derived. Finally, we provide the uniformly exponential rate of convergence of the solution to the unique steady state. |
| Relation: | Taiwanese J. Math.,13(4),1213-1227 |
| Data Type: | article |
| DCField |
Value |
Language |
| dc.contributor (Contributor) | 應數系 | en_US |
| dc.creator (Authors) | 符聖珍 | zh_TW |
| dc.creator (Authors) | Fu,Sheng-Chen | en_US |
| dc.creator (Authors) | Guo,Jong-Shenq | en_US |
| dc.creator (Authors) | Wu,Chin-Chin | en_US |
| dc.date (Date) | 2009.08 | en_US |
| dc.date.accessioned | 2014-08-07 11:34:52 (UTC+8) | - |
| dc.date.available | 2014-08-07 11:34:52 (UTC+8) | - |
| dc.date.issued (Issue Date) | 2014-08-07 11:34:52 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/68415 | - |
| dc.description.abstract (Abstract) | We study an initial boundary value problem for a heat equation with strong absorption. We first prove that the solution of this problem stays positive for any finite time and converges to the unique steady state for a large class of initial data. This gives an example in which the dead-core is developed in infinite time. Then some estimates of the dead-core rate(s) are derived. Finally, we provide the uniformly exponential rate of convergence of the solution to the unique steady state. | en_US |
| dc.format.extent | 99825 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.relation (Relation) | Taiwanese J. Math.,13(4),1213-1227 | en_US |
| dc.subject (Keywords) | Heat equation;Strong absorption;Dead-core;Dead-core rate | en_US |
| dc.title (Title) | DEAD-CORE AT TIME INFINITY FOR A HEAT EQUATION WITH STRONG ABSORPTION | en_US |
| dc.type (Data Type) | article | en |
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