Spectral properties of the Neumann-Poincaré operator in 3D elasticity
Journal article, 2021
For the Neumann-Poincare operator in 3D elasticity, the location of the essential spectrum is found, both for a homogeneous and non-homogeneous material and the rate of convergence of eigenvalues to the tips of the essential spectrum is estimated.
eigenvalues
linear elasticity
Pseudodifferential operators,
essential spectrum
Author
Y. Miyanishi
Osaka University
Grigori Rozenblioum
Saint Petersburg State University - Spsu
University of Gothenburg
Chalmers, Mathematical Sciences
International Mathematics Research Notices
1073-7928 (ISSN) 1687-0247 (eISSN)
Vol. 2021 11 8715-8740Roots
Basic sciences
Subject Categories
Mathematical Analysis
DOI
10.1093/imrn/rnz341