Work

The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform

Year: 2024

Type: article

Abstract: We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result of Uhlmann and Wang [arXiv:2104.03477] to the case of simple manifolds, and more generally to manifolds where the geodesic ray transform is stably invertible. The argument involves an invariantly formulated construction of Gaussian beam quasimodes with uniform bounds for the underlying constants.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.13006

Authors: Shiqi Ma, Suman Kumar Sahoo, Mikko Salo

Institutions: Jilin University, Indian Institute of Technology Bombay, University of Jyväskylä

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funders: Isaac Newton Institute for Mathematical Sciences, National Natural Science Foundation of China, Engineering and Physical Sciences Research Council, H2020 European Research Council