Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide
Analysis of PDEs
2016-12-26 v1
Abstract
We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to the heat equation in an infinite closed waveguide, with homogeneous initial and Dirichlet data.
Cite
@article{arxiv.1612.07942,
title = {Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide},
author = {Yavar Kian and Diomba Sambou and Eric Soccorsi},
journal= {arXiv preprint arXiv:1612.07942},
year = {2016}
}