Strong unique continuation for two-dimensional anisotropic elliptic systems

Ru-Lin Kuan, Gen Nakamura, Satoshi Sasayama, Michael Hitrik

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2171-2183
Number of pages13
JournalProceedings of the American Mathematical Society
Volume147
Issue number5
DOIs
Publication statusPublished - 2019 May 1

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Carleman Estimate
Unique Continuation
Elliptic Systems
Gevrey Classes
Second-order Systems
Coefficient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Kuan, Ru-Lin ; Nakamura, Gen ; Sasayama, Satoshi ; Hitrik, Michael. / Strong unique continuation for two-dimensional anisotropic elliptic systems. In: Proceedings of the American Mathematical Society. 2019 ; Vol. 147, No. 5. pp. 2171-2183.
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Strong unique continuation for two-dimensional anisotropic elliptic systems. / Kuan, Ru-Lin; Nakamura, Gen; Sasayama, Satoshi; Hitrik, Michael.

In: Proceedings of the American Mathematical Society, Vol. 147, No. 5, 01.05.2019, p. 2171-2183.

Research output: Contribution to journalArticle

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