Inverse problems for parabolic equations 2

Details Inverse problems for parabolic equations 2 Inverse problems for parabolic equations 2

2005-10-04

arxiv.org/abs/math/0510076v1

Mathematics

Analysis of PDEs

Scientific paper

Let $u_t-u_{xx}=h(t)$ in $0\leq x \leq \pi, t\geq 0.$ Assume that
$u(0,t)=v(t)$, $u(\pi,t)=0$, 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.

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