Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Trouble with dirac delta in R^2

  1. Sep 6, 2008 #1
    Find a distribution F in R^2 that satisfies (Dx) F(x,t) = t*Delta(x)
    It is apperantly not t*H(x) as in R.

    * is multiplication, D is dirac delta, H is Heavyside , (Dx) is derivation with respect to x (in the sense of distributions)

    Sorry for not using Latex.

    Indeed I am trying to solve following ODE for u(t,x) :
    u' + u = t*Delta(x) + Delta'' (x)
  2. jcsd
  3. Sep 8, 2008 #2


    User Avatar

    why not?

    multiply both sides by exp(x) to get d/dx(exp(x)u) on the left hand side and integrate.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Trouble with dirac delta in R^2
  1. Dirac Delta Function (Replies: 10)