Steklov zeta-invariants and a compactness theorem for isospectral families of planar domains

DOI10.1016/j.jfa.2018.06.019zbMath1401.35344arXiv1611.05919OpenAlexW2551685321MaRDI QIDQ1653293

Y. Aharonov

Publication date: 3 August 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05919

zbMATH Keywords

zeta functioninverse spectral problemDirichlet-to-Neumann operatorSteklov spectrum

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Inverse problems for PDEs (35R30)

Related Items (4)

Some recent developments on the Steklov eigenvalue problem ⋮ Spectral invariants of Dirichlet-to-Neumann operators on surfaces ⋮ A Meyer-Vietoris formula for the determinant of the Dirichlet-to-Neumann operator on Riemann surfaces ⋮ An estimate for the Steklov zeta function of a planar domain derived from a first variation formula

Cites Work

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• An inequality for the zeta function of a planar domain
• Determining anisotropic real-analytic conductivities by boundary measurements
• Can One Hear the Shape of a Drum?

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