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

Tong Keun Chang, Hi Jun Choe

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)179-191
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume326
Issue number1
DOIs
Publication statusPublished - 2007 Feb 1

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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