Carleman Estimate for Surface in Euclidean Space at Infinity

2017/03/26 by Ao Sun, Sun, Ao
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1703.08759

Abstract

This paper develops a Carleman type estimate for immersed surface in Euclidean space at infinity. With this estimate, we obtain an unique continuation property for harmonic functions on immersed surfaces vanishing at infinity, which leads to rigidity results in geometry.

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