An inverse problem for the Riemannian minimal surface equation
Analysis of PDEs
2022-03-18 v1 Differential Geometry
Abstract
In this paper we consider determining a minimal surface embedded in a Riemannian manifold . We show that if is a two dimensional Riemannian manifold with boundary, then the knowledge of the associated Dirichlet-to-Neumann map for the minimal surface equation determine up to an isometry.
Cite
@article{arxiv.2203.09262,
title = {An inverse problem for the Riemannian minimal surface equation},
author = {Cătălin I. Cârstea and Matti Lassas and Tony Liimatainen and Lauri Oksanen},
journal= {arXiv preprint arXiv:2203.09262},
year = {2022}
}
Comments
18 pages