Bifurcations of essential spectra generated by a small non-Hermitian hole. I: Meromorphic continuations (Q825081)

scientific article; zbMATH DE number 7447224

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English	Bifurcations of essential spectra generated by a small non-Hermitian hole. I: Meromorphic continuations	scientific article; zbMATH DE number 7447224

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instance of

scholarly article

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title

Bifurcations of essential spectra generated by a small non-Hermitian hole. I: Meromorphic continuations (English)

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Russian Journal of Mathematical Physics

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publication date

17 December 2021

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zbMATH Keywords

non-Hermitian Robin-type boundary condition

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MaRDI profile type

Publication

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cites work

The physics of exceptional points

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Physics of Spectral Singularities

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Bifurcations of thresholds in essential spectra of elliptic operators under localized non‐Hermitian perturbations

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Impedance boundary conditions for imperfectly conducting surfaces

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Q4837259

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Inverse Acoustic and Electromagnetic Scattering Theory

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Macroscopic current induced boundary conditions for Schrödinger-type operators.

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Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case

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Q4023364

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ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES

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Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii

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On a $\mathcal{PT}$-symmetric waveguide with a pair of small holes

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On regular and singular perturbations of acoustic and quantum waveguides

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Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold

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Asymptotic formulas for trapped modes and for eigenvalues below the threshold of the continuous spectrum of a waveguide with a thin screening barrier

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Asymptotic behaviour of the spectrum of a waveguide with distant perturbations

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Distant perturbations of the Laplacian in a multi-dimensional space

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The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions

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On eigenvalues of a $ \mathscr{P\!T}$-symmetric operator in a thin layer

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The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes

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Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve

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Outgoing solutions for perturbations of -$\Delta$ with applications to spectral and scattering theory

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Discrete spectrum of an asymmetric pair of waveguides coupled through a window

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On the spectrum of a two-dimensional periodic operator with a small localized perturbation

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Bifurcations of essential spectra generated by a small non-Hermitian hole. II: Eigenvalues and resonances

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full work available at URL

https://doi.org/10.1134/s1061920821040026

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Identifiers

zbMATH Open document ID

1479.35582

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DOI

10.1134/S1061920821040026

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:825081