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arXiv · 2112.01018

Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions

Zhiyuan Li·Yikan Liu·Masahiro Yamamoto
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Abstract

In this paper, we obtain the sharp uniqueness for an inverse $x$-source problem for a one-dimensional time-fractional diffusion equation with a zeroth-order term by the minimum possible lateral Cauchy data. The key ingredient is the unique continuation which holds for weak solutions.

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Zhiyuan Li, Yikan Liu, Masahiro Yamamoto. 2021-12-02. Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions. https://doi.org/10.3934/ipi.2022027

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