Spectral properties of the layer potentials associated with elasticity equations and transmission problems on Lipschitz domains ✩

We study the invertibility of βI +K and βI +K in L2(∂Ω) for β ∈ R\[−12, 12 ] where K,K are double layer potentials related to elasticity equations and Ω is bounded Lipschitz domain in Rn. Consequently, the spectrum on real line lies in [−12 , 12 ]. Applications to transmission problems are also presented. © 2006 Elsevier Inc. All rights reserved.