I am trying to get a solution to the heat equation with multiple boundary conditions.
Most of them work but I am having trouble with two things: a Robin boundary condition and initial conditions.
First, here are my equations that work:







returns a solution (actually two including u(x,y,z,t)=0).
However, when I try to add:

or

I no longer get a solution.
Any guidance would be appreciated.
Regards.
I have uploaded a worksheet with the equations...
Download heat_equation_pde.mw