Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
Analysis of PDEs
2019-04-12 v1
Abstract
The strong maximum principle is a remarkable characterization of parabolic equations, which is expected to be partly inherited by fractional diffusion equations. Based on the corresponding weak maximum principle, in this paper we establish a strong maximum principle for time-fractional diffusion equations with Caputo derivatives, which is slightly weaker than that for the parabolic case. As a direct application, we give a uniqueness result for a related inverse source problem on the determination of the temporal component of the inhomogeneous term.
Keywords
Cite
@article{arxiv.1507.00845,
title = {Strong maximum principle for fractional diffusion equations and an application to an inverse source problem},
author = {Yikan Liu and William Rundell and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1507.00845},
year = {2019}
}