APM346-2021S > Chapter 3

3.1 Heaviside step function

(1/1)

SelinaW:
I believe as t->0+ and x>0, the integral I marked in red should be sqrt(pi), then U(x, t) should be 1/2. I do not know how we get 1.

Victor Ivrii:
Everything is correct. You need to look carefully at limits in the integrals