A novel method to solve inverse source problem for advection-diffusion equation from final data
Analysis of PDEs
2018-06-15 v1
Abstract
In this article, for an advection-diffusion equation we study an inverse problem for restoration of source temperature from the information of final temperature profile. The uniqueness of this inverse problem is established by taking an integral transform and using Liouville's theorem (complex analysis).
Cite
@article{arxiv.1806.05369,
title = {A novel method to solve inverse source problem for advection-diffusion equation from final data},
author = {Zhiyuan Li and Gongsheng Li and Xianzheng Jia},
journal= {arXiv preprint arXiv:1806.05369},
year = {2018}
}