18.3.1.3 Solution ppc-c

Question:

Repeat the previous two questions for the Dirichlet initial / boundary value problem for the heat equation,

$$u_t = \kappa\nabla^2 u \quad\mbox{on}\quad\Omega\qquad u = f... ...\mbox{on}\quad\delta\Omega\qquad u = g \quad\mbox{at}\quad t=0$$

Answer:

Use the maximum and minimum properties of the heat equation.