摘要
本文在u为二次连续可微的前提下,证明如果u满足平均值定理,则u为调和函数。证明仅用到green公式。
We now reprove that if u is a twice continuously differentiable function satisfied the reverse avargevalued theorem then it is harmonic. The proof utilizes only the Green formula.
关键词
调和函数
格林公式
逆平均值定理
harmonic function
avargevalued theorem
Green formula