Liouville-type theorem for the lamÉ system with singular coefficients

Blair Davey, Ching Lung Lin, Jenn Nan Wang

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

In this paper, we study a Liouville-type theorem for the Lamé system with rough coefficients in the plane. Let u be a real-valued two-vector in R2 satisfying ∇u ∈ Lp (R2) for some p > 2 and the equation divμ ∇u + (∇u)T + ∇(λ div u) = 0 in R2. When ‖∇μ‖L 2 (R2) is not large, we show that u ≡ constant in R2. As by-products, we prove the weaK unique continuation property and the uniqueness of the Cauchy problem for the Lamé system with small ‖μ‖W 1,2.

原文English
頁(從 - 到)2619-2624
頁數6
期刊Proceedings of the American Mathematical Society
147
發行號6
DOIs
出版狀態Published - 2019 一月 1

All Science Journal Classification (ASJC) codes

  • 數學(全部)
  • 應用數學

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