1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Convergence of solution - vector integrals

  1. Jun 21, 2010 #1
    1. The problem statement, all variables and given/known data

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

    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
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted