Spectral properties of the layer potentials associated with elasticity equations and transmission problems on Lipschitz domains |
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| Authors: | Tong Keun Chang Hi Jun Choe |
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| Institution: | Department of Mathematics, Yonsei University, Seodaemun-gu, Seoul, Republic of Korea |
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| Abstract: | We study the invertibility of βI+K and βI+K′ in L2(∂Ω) for  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  . Applications to transmission problems are also presented. |
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| Keywords: | Elasticity equation Transmission problem Lipschitz domains Layer potentials Spectral radius |
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