Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations
Analysis of PDEs
2020-01-08 v2
Abstract
We consider the inverse source problem of determining a source term depending on both time and space variable for fractional and classical diffusion equations in a cylindrical domain from boundary measurements. With suitable boundary conditions we prove that some class of source terms which are independent of one space direction, can be reconstructed from boundary measurements. Actually, we prove that this inverse problem is well-posed. We establish also some results of Lipschitz stability for the recovery of source terms which we apply to the stable recostruction of time-dependent coefficients.
Keywords
Cite
@article{arxiv.1902.09118,
title = {Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations},
author = {Yavar Kian and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1902.09118},
year = {2020}
}