Hi,
I was reading a paper on control of the 1-D heat equation with boundary control, the equation being
\frac{\partial u(x,t)}{\partial x}= \frac{\partial^2 u(x,t)}{\partial x^2} with boundary conditions:
u(0,t)=0 and u_x(1,t)=w(t), where w(t) is the control input.
The authors...