Strong unique continuation for the Lamé system with less regular coefficients

Blair Davey, Ching Lung Lin, Jenn Nan Wang

Research output: Contribution to journalArticlepeer-review

Abstract

We study the strong unique continuation property (SUCP) for the Lamé system in the plane. The main contribution of our work is to prove that the SUCP holds when Lamé coefficients (μ, λ) ∈ W2,s(Ω) × L(Ω) for some s> 4 / 3. In other words, we establish the SUCP for the Lamé system in the plane when λ is bounded and μ belongs to certain Hölder classes.

Original languageEnglish
JournalMathematische Annalen
DOIs
Publication statusAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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