Ultracontractivity and eigenvalues: Weyl's law for the Dirichlet-to-Neumann operator

DOI10.1007/s00020-017-2353-2OpenAlexW2601941399MaRDI QIDQ2399502

A. F. M. ter Elst, Wolfgang Arendt

Publication date: 24 August 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-017-2353-2

zbMATH Keywords

Weyl asymptoticsDirichlet-to-Neumann operatorultracontractivity

Mathematics Subject Classification ID

Abstract harmonic analysis (43-XX) Operator theory (47-XX) Partial differential equations (35-XX) Functional analysis (46-XX)

Related Items (9)

Unnamed Item ⋮ The diamagnetic inequality for the Dirichlet‐to‐Neumann operator ⋮ Analyticity of the Dirichlet-to-Neumann semigroup on continuous functions ⋮ Dirichlet-to-Neumann and elliptic operators on \(C^{1+\{\kappa}\)-domains: Poisson and Gaussian bounds ⋮ Sobolev algebras on Lie groups and noncommutative geometry ⋮ Bi-Laplacians on graphs and networks ⋮ On the eigenvalue counting function for Schr\"odinger operator: some upper bounds ⋮ Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps ⋮ Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions

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