Strong unique continuation for two-dimensional anisotropic elliptic systems

Rulin Kuan; Gen Nakamura; Satoshi Sasayama; Michael Hitrik

doi:10.1090/proc/14416

Strong unique continuation for two-dimensional anisotropic elliptic systems

Rulin Kuan, Gen Nakamura, Satoshi Sasayama, Michael Hitrik

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	2171-2183
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	5
DOIs	https://doi.org/10.1090/proc/14416
Publication status	Published - 2019 May

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/proc/14416

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title = "Strong unique continuation for two-dimensional anisotropic elliptic systems",

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.",

author = "Rulin Kuan and Gen Nakamura and Satoshi Sasayama and Michael Hitrik",

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AB - 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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Strong unique continuation for two-dimensional anisotropic elliptic systems

Abstract

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