Let $Dsub{R}^2$ be a given donain. Show that there is at mast one Green's function on $D.$ Hint: If there weev $($wo$,$ what cquation does their difference satisfy? Find the "onodimensional Green's function" for the interval $(0.l).$ The three properties $($the replacement for the properties in the textbook in ligher dimensions$)$ are it sutisfies $G^{\text{'}\text{'}}(x)=0$ for $x{x}_n($that is$,G$ is thormonic"$),G(0)=G(0)=0,G(x)$ is contimuous at $x=x_0$ and $G(z)+\frac{1}{2}|x-z_0|$ is harmonic nt $x_0-$ Hint: The first condition tells you w