On the eigenvalues of the Robin Laplacian with a complex parameter

DOI10.1007/s13324-022-00646-0zbMath1490.35108arXiv1908.06041OpenAlexW2967302013MaRDI QIDQ2075820

Sabine Bögli, Robin Lang, James Bernard Kennedy

Publication date: 16 February 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06041

zbMATH Keywords

Robin boundary conditionsLaplacianspectral theory of non-self-adjoint operatorsestimates on eigenvalues

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (1)

Degeneration of the spectral gap with negative Robin parameter

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