Spectral stability under removal of small segments

DOI10.1090/PROC/16813zbMATH Open1542.35267MaRDI QIDQ6566398

Xiang He

Publication date: 3 July 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Potentials and capacities on other spaces (31C15)

Cites Work

• Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
• Potential and scattering theory on wildly perturbed domains
• Probabilistic methods in some problems of scattering theory
• Spectrum of manifolds with holes
• Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains
• Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators
• Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian

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