Pre-compactness of isospectral sets for the neumann operator on planar domains

DOI10.1080/03605309308820973zbMath0811.35160OpenAlexW2014641041MaRDI QIDQ3141789

Julian Edward

Publication date: 9 November 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309308820973

zbMATH Keywords

zeta functionisospectral setinverse spectral properties of the Neumann operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Inverse problems for PDEs (35R30)

Related Items (5)

Steklov zeta-invariants and a compactness theorem for isospectral families of planar domains ⋮ 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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• Lectures on partial differential equations. Delivered at the Indian Institute of Science, Bangalore. Notes by K. T. Joseph and S. Thangavelu
• Stekloffsche Eigenwerte und konforme Abbildungen. (Stekloff eigenvalues and conformal mappings)
• An Inequality for a Stekloff Eigenvalue by the Method of Defect

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