Inverse problems for elliptic equations with fractional power type nonlinearities
Analysis of PDEs
2020-12-10 v1 Differential Geometry
Abstract
We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain nonlinear equations in cases where the solution for a corresponding linear equation is not known. By using a fractional order adaptation of this method, we show that the results of [LLLS20a, LLLS20b] remain valid for general power type nonlinearities.
Keywords
Cite
@article{arxiv.2012.04944,
title = {Inverse problems for elliptic equations with fractional power type nonlinearities},
author = {Tony Liimatainen and Yi-Hsuan Lin and Mikko Salo and Teemu Tyni},
journal= {arXiv preprint arXiv:2012.04944},
year = {2020}
}
Comments
24 pages