# Homework Help: Convergence of solution - vector integrals

1. Jun 21, 2010

### the_dialogue

1. The problem statement, all variables and given/known data

Supposedly the attached equation, where $$\phi_m(r)$$ is an eigenfunction and $$A_m$$ is the inverse of the inner product of $$\phi_m$$, only converges on D, but not on B. Apparently we can only get convergence along both D and B if $$f(r,t)=0$$.

How can I prove this?

2. Relevant equations
[PLAIN]http://img204.imageshack.us/img204/5227/greenshot20100621175230.png [Broken]

3. The attempt at a solution
I am reading this in a paper and fail to see how such a proof can be brought about. Can someone provide a bit of guidance on how I can begin to prove this?

Thank you!

http://goo.gl/pSgc" [Broken]

Last edited by a moderator: May 4, 2017