Strong unique continuation for two-dimensional anisotropic elliptic systems

Kuan, Rulin; Nakamura, Gen; Sasayama, Satoshi

doi:10.1090/proc/14416

Strong unique continuation for two-dimensional anisotropic elliptic systems
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by Rulin Kuan, Gen Nakamura and Satoshi Sasayama

Proc. Amer. Math. Soc. 147 (2019), 2171-2183

DOI: https://doi.org/10.1090/proc/14416

Published electronically: February 6, 2019

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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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