Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation
Analysis of PDEs
2016-09-14 v1
Abstract
An inverse problem to determine a space-dependent factor in a semilinear time-fractional diffusion equation is considered. Additional data are given in the form of an integral with the Borel measure over the time. Uniqueness of the solution of the inverse problem is studied. The method uses a positivity principle of the corresponding differential equation that is also proved in the paper.
Cite
@article{arxiv.1609.03693,
title = {Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation},
author = {Jaan Janno and Kairi Kasemets},
journal= {arXiv preprint arXiv:1609.03693},
year = {2016}
}
Comments
to appear in Inverse Problems and Imaging