APM346-2018S > APM346--Lectures

excersice 1, chap 7.3


Jingxuan Zhang:

Exercise 1 appears quite strange. if $f=0$ on $\Omega=\{\|x\|\geq R\}$ and $u(y)=\int_\Omega G(x,y)f(x)\,dx$, then shouldn't this integral vanish instead of giving that curious form?

Victor Ivrii:
The formula you refer to is good only for $\Omega=\mathbb{R}^n$. In all other cases it contains integrals over boundary, which are not $0$


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