论文标题
Riemannian最小表面方程的逆问题
An inverse problem for the Riemannian minimal surface equation
论文作者
论文摘要
在本文中，我们考虑确定嵌入在Riemannian歧管$σ\ times \ Mathbb {r} $中的最小表面。我们表明，如果$σ$是具有边界的二维Riemannian歧管，那么最小表面方程的相关dirichlet到neumann映射的知识确定了等轴测图的$σ$。
In this paper we consider determining a minimal surface embedded in a Riemannian manifold $Σ\times \mathbb{R}$. 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.
