Strong unique continuation for two-dimensional anisotropic elliptic systems

Rulin Kuan, Gen Nakamura, Satoshi Sasayama, Michael Hitrik

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
147
發行號5
DOIs
出版狀態Published - 2019 五月

All Science Journal Classification (ASJC) codes

  • 數學(全部)
  • 應用數學

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