Find a distribution F in R^2 that satisfies (Dx) F(x,t) = t*Delta(x)(adsbygoogle = window.adsbygoogle || []).push({});

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)

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# Trouble with dirac delta in R^2

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