【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.更多还原

【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.更多还原