Carleman Estimate for Surface in Euclidean Space at Infinity

Ao Sun

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arXiv · 1703.08759

Carleman Estimate for Surface in Euclidean Space at Infinity

Ao Sun

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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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Ao Sun. 2017-03-26. Carleman Estimate for Surface in Euclidean Space at Infinity. https://arxiv.org/abs/1703.08759

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