A Reconstruction Algorithm for a Semilinear Parabolic Inverse Problem

preprint2014arXivOpen access

Abstract

In this paper, we consider an inverse problem to determine a semilinear term of a parabolic equation from a single boundary measurement of Neumann type. For this problem, a reconstruction algorithm is established by the spectral representation for the fundamental solution of heat equation with homogeneous Neumann boundary condition and the Whitney extension theorem.

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