Answer

问题及解答

$\mu''_{xx}-\mu''_{yy}=f(x,y)$

Posted by haifeng on 2016-04-05 16:44:41 last update 2016-04-05 16:44:41 | Edit | Answers (0)

设 $f(x,y)$, $f'_y(x,y)$ 连续, 

\[
\mu(x,y)=\frac{1}{2}\int_{0}^{x}dt\int_{t-x+y}^{-t+x+y}f(t,s)ds
\]

证明:

\[
\mu''_{xx}-\mu''_{yy}=f(x,y).
\]