Abstract
In this paper we consider determining a minimal surface embedded in a Riemannian manifold Σ×R. We show that if Σ is a two dimensional Riemannian manifold with boundary, then the knowledge of the associated Dirichlet-to-Neumann map for the minimal surface equation determine Σ up to an isometry.
Original language | English |
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Pages (from-to) | 626-648 |
Number of pages | 23 |
Journal | Journal of Differential Equations |
Volume | 379 |
DOIs | |
State | Published - 15 Jan 2024 |
Keywords
- Higher order linearization
- Inverse problems
- Minimal surface
- Quasilinear elliptic equation
- Riemannian manifold
- Riemannian surface