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Inverse problems for parabolic equations 2

A. G. Ramm
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Abstract

Let $u_t-u_{xx}=h(t)$ in $0\leq x \leq π, t\geq 0.$ 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.

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A. G. Ramm. 2005-10-04. Inverse problems for parabolic equations 2. https://arxiv.org/abs/math/0510076

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