Strong unique continuation for the Lam? system with less regular coefficients
Journal
Mathematische Annalen
Pages
-
Date Issued
2020
Author(s)
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.
SDGs
Type
journal article