H\"older stability estimate in an inverse source problem for a first and half order time fractional diffusion equation
Analysis of PDEs
2016-11-17 v1
Abstract
We consider the first and half order time fractional equation with the zero initial condition. We investigate an inverse source problem of determining the time-independent source factor by the data at an arbitrarily fixed time and we establish the conditional stability estimate of H\"older type in our inverse problem. Our method is based on the Bukhgeim-Klibanov method by means of the Carleman estimate. We also derive the Carleman estimate for the first and half order time fractional diffusion equation.
Keywords
Cite
@article{arxiv.1611.05200,
title = {H\"older stability estimate in an inverse source problem for a first and half order time fractional diffusion equation},
author = {Atsushi Kawamoto},
journal= {arXiv preprint arXiv:1611.05200},
year = {2016}
}
Comments
19 pages