In this paper we prove the strong unique continuation property for a Lamé system with Lipschitz coefficients in the plane. The proof relies on reducing the Lamé system to a first order elliptic system and suitable Carleman estimates with polynomial weights.
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Hiroshima Univ, Fac Integrated Arts & Sci, Div Math & Informat, Higashihiroshima 739, JapanHiroshima Univ, Fac Integrated Arts & Sci, Div Math & Informat, Higashihiroshima 739, Japan
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Stat Georgetown Univ, Dept Math, Washington, DC 20057 USAStat Georgetown Univ, Dept Math, Washington, DC 20057 USA
Eller, Matthias
Honda, Naofumi
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Hokkaido Univ, Dept Math, Sapporo 0600810, JapanStat Georgetown Univ, Dept Math, Washington, DC 20057 USA
Honda, Naofumi
Lin, Ching-Lung
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Natl Cheng Kung Univ, Dept Math, Tainan 701, TaiwanStat Georgetown Univ, Dept Math, Washington, DC 20057 USA
Lin, Ching-Lung
Nakamura, Gen
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Hokkaido Univ, Dept Math, Sapporo 0600810, Japan
Hokkaido Univ, Res Ctr Math Social Creat, Res Inst Elect Sci, Sapporo 0600811, JapanStat Georgetown Univ, Dept Math, Washington, DC 20057 USA