Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions
Analysis of PDEs
2023-01-02 v2
Abstract
In this paper, we obtain the sharp uniqueness for an inverse -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.
Cite
@article{arxiv.2112.01018,
title = {Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions},
author = {Zhiyuan Li and Yikan Liu and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:2112.01018},
year = {2023}
}
Comments
24 pages