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Steady wave eq and fourier transform

  1. Mar 9, 2015 #1

    joshmccraney

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    Gold Member

    1. The problem statement, all variables and given/known data
    $$u_{xx} + u_{yy} = 0 : x < 0, -\infty < y < \infty$$

    2. Relevant equations
    We can use Fourier Transform, which is defined over some function ##f(x)## as ##F(f(x)) = 1/ 2\pi \int_{-\infty}^{\infty} f(x) \exp (i \omega x) dx##.

    3. The attempt at a solution
    Using the fourier transform in the variable ##y## I find that $$F(u) = F(g(y)) \exp (\omega x)$$ From here I would use convolution but I don't know the inverse of ## \exp (\omega x) ##. Any help here (or if I should have used a fourier cosine/sine transform instead?
     
  2. jcsd
  3. Mar 14, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. Mar 16, 2015 #3

    joshmccraney

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    It's ok, I think I solved this. Just had to find the correct chart.
     
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