| 一类热传导方程的整体解及解的逐点估计 |
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| 引用本文： | 郝江浩,李胜家. 一类热传导方程的整体解及解的逐点估计[J]. 应用泛函分析学报, 2006, 8(2): 97-103 |
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| 作者姓名： | 郝江浩 李胜家 |
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| 作者单位： | 山西大学数学科学学院,山西,太原,030006 |
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| 基金项目： | SupportedbyNaturalScienceFoundationofChina(60174007)，NaturalScienceFounda-tionofShanxiProvince(20051004) |
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| 摘 要： | 研究长柱体区域中的热传导方程.通过构造辅助函数,利用Hopf极值原理,得到整体解的充分条件,并给出解的逐点估计与空间衰减估计.
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| 关 键 词： | 热传导方程 整体解 空间衰减 极值原理 |
| 文章编号： | 1009-1327（2006）02-0097-07 |
| 收稿时间： | 2005-05-08 |
| 修稿时间： | 2005-05-08 |
Global Solutions and Pointwise Bounds of Solutions for a Class of Heat Conduction Equations |
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| HAO Jiang-hao,LI Sheng-jia. Global Solutions and Pointwise Bounds of Solutions for a Class of Heat Conduction Equations[J]. Acta Analysis Functionalis Applicata, 2006, 8(2): 97-103 |
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| Authors: | HAO Jiang-hao LI Sheng-jia |
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| Abstract: | In this paper, we investigate a class of heat conduction equations in a long cylindrical region when the lateral surface and the far end are subjected to a zero temperature.The cylinder is assumed to be at zero temperature initially and subjected to a nonzero temperature distribution at the near end. By constructing auxiliary functions and using maximum principles, the sufficient conditions for global solutions are obtained. The pointwise bounds and spatial decay estimates of the solutions are given. |
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| Keywords: | heat conduction equations global solution spatial decay maximum principle |
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