Zeta-invariants of the Steklov spectrum of a planar domain

DOI10.1134/S0037446615040114zbMath1328.35319arXiv1404.2117OpenAlexW212760886MaRDI QIDQ748478

D. Kharzeev

Publication date: 29 October 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2117

zbMATH Keywords

inverse spectral problemzeta-functionDirichlet-to-Neumann operatorSteklov spectrum

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Isospectrality (58J53)

Related Items (3)

Steklov zeta-invariants and a compactness theorem for isospectral families of planar domains ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ An estimate for the Steklov zeta function of a planar domain derived from a first variation formula

Cites Work

• An inverse spectral result for the Neumann operator on planar domains
• An inequality for the zeta function of a planar domain
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