Source Reconstruction and Stability via Boundary Control of Abstract Viscoelastic Systems
Analysis of PDEs
2020-04-24 v1
Abstract
We study the inverse source problem for a class of viscoelastic systems from a single boundary measurement in a general spatial dimension. We give specific reconstruction formula and stability estimate for the source in terms of the boundary measurement. Our approaches rely on the exact boundary controllability of the corresponding viscoelastic systems for which we also provide a new proof based on a modification of the well-known moment method.
Keywords
Cite
@article{arxiv.2004.10842,
title = {Source Reconstruction and Stability via Boundary Control of Abstract Viscoelastic Systems},
author = {Walton Green and Shitao Liu},
journal= {arXiv preprint arXiv:2004.10842},
year = {2020}
}