Abstract
Let
u
t
−
u
xx
=h(t)
in
0≤x≤π,t≥0.
Assume that
u(0,t)=v(t)
,
u(π,t)=0
, and
u(x,0)=g(t)
. The problem is: {\it what extra data determine the three unknown functions
{h,v,g}
uniquely?}. This question is answered and an analytical method for recovery of the above three functions is proposed.