Spectral Properties of the Neumann–Poincaré Operator in 3D Elasticity

DOI10.1093/imrn/rnz341zbMath1473.35100arXiv1904.09449OpenAlexW2999170243MaRDI QIDQ3382618

Yoshihisa Miyanishi, Grigori Rozenblum

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09449

zbMATH Keywords

polynomial compactnessadjoint double layer potential

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Classical linear elasticity (74B05) Integral representations of solutions to PDEs (35C15) Linear operators defined by compactness properties (47B07) Boundary value problems for second-order elliptic systems (35J57)

Related Items (8)

Topological obstructions to the diagonalisation of pseudodifferential systems ⋮ Eigenvalue asymptotics for polynomially compact pseudodifferential operators ⋮ The discrete spectrum of the Neumann-Poincaré operator in 3D elasticity ⋮ Discrete spectrum of zero order pseudodifferential operators ⋮ Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation ⋮ Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions ⋮ Diagonalization of elliptic systems via pseudodifferential projections ⋮ Invariant subspaces of elliptic systems I: pseudodifferential projections

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