TY - JOUR

T1 - Spectral properties of the layer potentials associated with elasticity equations and transmission problems on Lipschitz domains

AU - Chang, Tong Keun

AU - Choe, Hi Jun

PY - 2007/2/1

Y1 - 2007/2/1

N2 - We study the invertibility of β I + K and β I + K′ in L2 (∂ Ω) for β ∈ R {set minus} [- frac(1, 2), frac(1, 2)] 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 [- frac(1, 2), frac(1, 2)]. Applications to transmission problems are also presented.

AB - We study the invertibility of β I + K and β I + K′ in L2 (∂ Ω) for β ∈ R {set minus} [- frac(1, 2), frac(1, 2)] 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 [- frac(1, 2), frac(1, 2)]. Applications to transmission problems are also presented.

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U2 - 10.1016/j.jmaa.2006.03.001

DO - 10.1016/j.jmaa.2006.03.001

M3 - Article

AN - SCOPUS:33750615835

VL - 326

SP - 179

EP - 191

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -