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

數學系

研究成果: Article › 同行評審

1 引文斯高帕斯（Scopus）

摘要

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.

原文	English
頁（從 - 到）	2171-2183
頁數	13
期刊	Proceedings of the American Mathematical Society
卷	147
發行號	5
DOIs	https://doi.org/10.1090/proc/14416
出版狀態	Published - 2019 5月

All Science Journal Classification (ASJC) codes

一般數學
應用數學

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10.1090/proc/14416

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引用此

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Strong unique continuation for two-dimensional anisotropic elliptic systems

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