Methods and Applications of Analysis

Volume 18 (2011)

Number 1

Quantitative strong unique continuation for the Lamé system with less regular coefficients

Pages: 85 – 92

DOI: https://dx.doi.org/10.4310/MAA.2011.v18.n1.a5

Authors

C.-L. Lin (Department of Mathematics, NCTS, National Cheng Kung University, Tainan, Taiwan)

G. Nakamura (Department of Mathematics, Hokkaido University, Sapporo, Japan)

Gunther Uhlmann (Department of Mathematics, University of Washington, Seattle, Wash., U.S.A.)

J.-N. Wang (Department of Mathematics, Taida Institute of Mathematical Sciences, National Taiwan University, Taipei, Taiwan)

Abstract

In this paper we prove a quantitative form of the strong unique continuation property for the Lamé system when the Lamé coefficients μ is Lipschitz and λ is essentially bounded in dimension n ≥ 2. This result is an improvement of our earlier result in which both μ and λ were assumed to be Lipschitz.

Keywords

Lamé system, strong unique continuation property, Carleman estimates

2010 Mathematics Subject Classification

Primary 35Q70, 35Q74. Secondary 35J56, 35J57, 35J58.

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Published 27 April 2011