A Reconstruction Algorithm for a Semilinear Parabolic Inverse Problem
Analysis of PDEs
2014-12-23 v1
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.
Cite
@article{arxiv.1412.7114,
title = {A Reconstruction Algorithm for a Semilinear Parabolic Inverse Problem},
author = {Wuqing Ning and Xue Qin and Yunxia Shang},
journal= {arXiv preprint arXiv:1412.7114},
year = {2014}
}
Comments
7 pages, 16 references