- #1
Dassinia
- 144
- 0
Homework Statement
Hello, I don't understand the solution of an exercise
Let P(x) be a continuous function such that |P(x)|≤Ceax² .
Show that formula (8) for the solution of the diffusion equation makes sense for 0 < t < 1/(4ak), but not necessarily for larger t.
Homework Equations
Equation (8) refers to
u(x,t)=1/√(4*pi*k*t) ∫ e-(x-y)²/4ktP(y) dy
The Attempt at a Solution
The solution just says that
I don't understand how they conclude ? I don't see why we have 0 < t < 1/(4ak)
Thanks