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arXiv · 1709.10228

Strong unique continuation for two-dimensional anisotropic elliptic systems

Rulin Kuan·Gen Nakamura·Satoshi Sasayama
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Abstract

In this paper, we give the strong unique continuation property for a general two dimensional anisotropic elliptic system with real coefficients in a Gevrey class under the assumption that the principal symbol of the system has simple characteristics. The strong unique continuation property is derived by obtaining some Carleman estimate. The derivation of the Carleman estimate is based on transforming the system to a larger second order elliptic system with diagonal principal part which has complex coefficients.

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Rulin Kuan, Gen Nakamura, Satoshi Sasayama. 2017-09-29. Strong unique continuation for two-dimensional anisotropic elliptic systems. https://arxiv.org/abs/1709.10228

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