A local Hopf lemma for solutions of the one dimensional heat equation
A local Hopf lemma for solutions of the one dimensional heat equation
复制标题
一维热方程解的局部 Hopf 引理
DOI：
10.1017/s0027763000006188
复制
发表时间：
1997
影响因子：
0.8
通讯作者：
N. Suzuki
中科院分区：
文献类型：
--
作者：
N. Suzuki
抽象的。研究了热方程（温度函数）解的边界行为。证明了如果温度函数在某个达到局部极小值的横向边界点处有限阶消失，则该温度函数等同于零。
Abstract. The boundary behavior of solutions of the heat equation (temperature functions) is investigated. It is proved that a temperature function is identically equal to zero if it vanishes of finite order at some lateral boundary point where it attains a local minimum.