Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates
Analysis of PDEs
2019-06-21 v2
Abstract
We consider a fractional radiative transport equation, where the time derivative is of half order in the Caputo sense. By establishing Carleman estimates, we prove the global Lipschitz stability in determining the coefficients of the one-dimensional time-fractional radiative transport equation of half-order.
Keywords
Cite
@article{arxiv.1608.07914,
title = {Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates},
author = {Atsushi Kawamoto and Manabu Machida},
journal= {arXiv preprint arXiv:1608.07914},
year = {2019}
}