应用泛函分析学报2006，Vol.8Issue(2)：97-103,7.
一类热传导方程的整体解及解的逐点估计
Global Solutions and Pointwise Bounds of Solutions for a Class of Heat Conduction Equations
摘要
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.关键词
热传导方程/整体解/空间衰减/极值原理Key words
heat conduction equations/global solution/spatial decay/maximum principle分类
数理科学引用本文复制引用
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):97-103,7.基金项目
Supported by Natural Science Foundation of China (60174007) （60174007）
Natural Science Foundation of Shanxi Province(20051004) （20051004）
