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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.
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