The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript

DOI10.4171/JST/399zbMath1492.58016arXiv2102.06594OpenAlexW4220786741MaRDI QIDQ2120167

Iosif Polterovich, Mikhail Karpukhin, Alexandre Girouard, Michael Levitin

Publication date: 31 March 2022

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.06594

zbMATH Keywords

eigenvalue asymptoticsDirichlet eigenvaluesLaplace-Beltrami operatorDirichlet-to-Neumann mapRobin eigenvalues

Mathematics Subject Classification ID

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

Related Items (5)

Generic properties of Steklov eigenfunctions ⋮ Uniqueness of Yudovich's solutions to the 2D incompressible Euler equation despite the presence of sources and sinks ⋮ Weyl's law for the Steklov problem on surfaces with rough boundary ⋮ Weyl asymptotics for Poincaré-Steklov eigenvalues in a domain with Lipschitz boundary ⋮ Some recent developments on the Steklov eigenvalue problem

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