Let 2 C R be open with smooth boundary. Show that (a) Green's function G(x, y),...

 

Transcribed Image Text:

Let 2 C R" be open with smooth boundary. Show that (a) Green's function G(x, y), x,y E N, is uniquely determined by its properies, (b) G(r, y) < 0, x, y E N. Let 2 C R" be open with smooth boundary. Show that (a) Green's function G(x, y), x,y E N, is uniquely determined by its properies, (b) G(r, y) < 0, x, y E N.