Eigenvalue asymptotics for polynomially compact pseudodifferenial operators and applications

2020/06/18 by Grigori Rozenblum, Rozenblum, Grigori
Computer Science · Mathematics · #47G20 #58J50 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2006.10568

openalex publication_date 2020/06/18 · openalex created_date 2020/06/25 · openalex updated_date 2026/07/28

Abstract

We fnd the asymptotics of eigenvalues of polynomially compact zero order pseudodiferential operators, the motivating example being the Neumann- Poincare operator in linear elasticity.

Citations

• The spectral function of an elliptic operator
• Convergence rate for eigenvalues of the elastic Neumann--Poincaré operator on smooth and real analytic boundaries in two dimensions
• Spectral analysis of Neumann-Poincaré operator

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• On Asymptotics of Polynomial Eigenfunctions for Exactly-Solvable Differential Operators
• Reduced Weyl asymptotics for pseudodifferential operators on bounded domains I. The finite group case
• Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators
• Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case