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arXiv · 1507.00845

Strong maximum principle for fractional diffusion equations and an application to an inverse source problem

Yikan Liu·William Rundell·Masahiro Yamamoto
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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.

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Yikan Liu, William Rundell, Masahiro Yamamoto. 2015-07-03. Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. https://doi.org/10.1515/fca-2016-0048

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