PreprintarXiv licencearXiv
The Calderón problem for near-Euclidean metrics
Abstract
In this article, we consider the anisotropic Calderón problem of determining the potential from boundary measurements of the time-independent Schrödinger equation on compact Riemannian manifolds with boundary. We prove a global uniqueness theorem for small perturbations of the Euclidean metric.
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BibTeX
@misc{uhlmann2026calderón,
title = {{The Calderón problem for near-Euclidean metrics}},
author = {Gunther Uhlmann and Yiran Wang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2606.26540},
eprint = {2606.26540},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.26540},
}
RIS
TY - UNPB
TI - The Calderón problem for near-Euclidean metrics
AU - Gunther Uhlmann
AU - Yiran Wang
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2606.26540
UR - https://arxiv.org/abs/2606.26540
AB - In this article, we consider the anisotropic Calderón problem of determining the potential from boundary measurements of the time-independent Schrödinger equation on compact Riemannian manifolds with boundary. We prove a global uniqueness theorem for small perturbations of the Euclidean metric.
ER -