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arXiv · 1412.7114

A Reconstruction Algorithm for a Semilinear Parabolic Inverse Problem

Wuqing Ning·Xue Qin·Yunxia Shang
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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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Wuqing Ning, Xue Qin, Yunxia Shang. 2014-12-22. A Reconstruction Algorithm for a Semilinear Parabolic Inverse Problem. https://arxiv.org/abs/1412.7114

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