mathematics Solution of heat equation with dirac delta function initial condition?

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Julián Fernández Bonder

In a bounded domain? Or in the whole space? In the whole space is just the fundamental solution.

Darioush Khodabakhshi

In a bounded domain

If you substract the fundamental solution, what you need is to solve the heat equation with the fundamental solution as your boundary datum and 0 as initial datum. Therefore you get that the function you are looking for is the fundamental solution plus a smooth bounded function.