论文标题
圆柱域和Widder定理中热方程的非负溶液
Nonnegative solutions of the heat equation in a cylindrical domain and Widder's theorem
论文作者
论文摘要
它显示了有界圆柱域中的热方程的每个非负解，就痕迹三重，由底部痕迹，角迹和抛物线层边界上的横向轨迹组成。相反，此痕迹三重唯一确定解决方案。
It is shown every nonnegative solution of the heat equation in a bounded cylindrical domain has an integral representation in terms of a trace triple consisting of a bottom trace, a corner trace and a lateral trace on its parabolic boundary. Conversely this trace triple uniquely determines the solution.
