A perturbation problem for transmission eigenvalues

DOI10.1007/s40687-021-00308-wzbMath1491.35302OpenAlexW4206227776MaRDI QIDQ2071036

David M. Ambrose, Shari Moskow, Fioralba Cakoni

Publication date: 25 January 2022

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-021-00308-w

zbMATH Keywords

perturbation theoryspectral problemsSommerfeld radiation conditionimplicit function theoremtransmission eigenvaluesnon-scattering wavesscattering theory for inhomogeneous media

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities

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