Strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations
Analysis of PDEs
2021-06-25 v2
Abstract
In this article, we consider the diffusion equation with multi-term time-fractional derivatives. We first derive that the solution is positive when the source term is nonpositive by a subordination principle for the solution. As an application, we prove that the uniqueness of the inverse problem on the determination of the temporally varying source term by integral type information in a subdomain. Finally, several numerical experiments are presented to show the accuracy and efficiency of the algorithm.
Cite
@article{arxiv.2104.08434,
title = {Strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations},
author = {Xiaona Yang and Zhiyuan Li},
journal= {arXiv preprint arXiv:2104.08434},
year = {2021}
}