Remarks on the anisotropic Calder\'{o}n problem
Analysis of PDEs
2023-06-13 v1
Abstract
We show uniqueness results for the anisotropic Calder\'{o}n problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to-Neumann maps on general Riemannian manifolds near the zero potential. Finally, we present results for Calder\'{o}n type inverse problems associated to semilinear elliptic equations on general Riemannian manifolds.
Cite
@article{arxiv.2204.02442,
title = {Remarks on the anisotropic Calder\'{o}n problem},
author = {Cătălin I. Cârstea and Ali Feizmohammadi and Lauri Oksanen},
journal= {arXiv preprint arXiv:2204.02442},
year = {2023}
}