Stability estimate for a partial data inverse problem for the convection-diffusion equation
Analysis of PDEs
2022-04-19 v1
Abstract
In this article, we study the stability in the inverse problem of determining the time-dependent convection term and density coefficient appearing in the convection-diffusion equation, from partial boundary measurements. For dimension , we show the convection term (modulo the gauge term) admits log-log stability, whereas log-log-log stability estimate is obtained for the density coefficient.
Cite
@article{arxiv.2104.12236,
title = {Stability estimate for a partial data inverse problem for the convection-diffusion equation},
author = {Soumen Senapati and Manmohan Vashisth},
journal= {arXiv preprint arXiv:2104.12236},
year = {2022}
}