论文标题
关于热方程阳性溶液的抛物线收敛
On parabolic convergence of positive solutions of the heat equation
论文作者
论文摘要
在本文中，我们研究了$ \ r^{n+1} $上半空间上热方程的某些类型的边界行为。我们证明，边界点的热方程的抛物溶液的抛物线限量的存在与该点溶液边界度量的强衍生物的存在等效。此外，抛物线极限和强衍生物相等。
In this article, we study certain type of boundary behaviour of positive solutions of the heat equation on the upper half-space of $\R^{n+1}$. We prove that the existence of the parabolic limit of a positive solution of the heat equation at a point in the boundary is equivalent to the existence of the strong derivative of the boundary measure of the solution at that point. Moreover, the parabolic limit and the strong derivative are equal.
