Analyticity of Steklov eigenvalues of nearly circular and nearly spherical domains

DOI10.1007/s40687-020-0202-4zbMath1439.35346arXiv1906.05259OpenAlexW3003693143MaRDI QIDQ2291461

Robert Viator, Braxton Osting

Publication date: 31 January 2020

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05259

zbMATH Keywords

perturbation theoryDirichlet-to-Neumann operatorSteklov eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Real-analytic functions (26E05)

Related Items (2)

Steklov Eigenvalues of Nearly Spherical Domains ⋮ Analyticity of Steklov eigenvalues of nearly hyperspherical domains in \(\mathbb{R}^{d+1}\)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• A characterization of Sobolev spaces on the sphere and an extension of Stolarsky's invariance principle to arbitrary smoothness
• A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering
• Exact non-reflecting boundary conditions on general domains.
• NIST digital library of mathematical functions
• Spectral geometry of the Steklov problem (survey article)
• The Dirichlet-to-Neumann operator via hidden compactness
• A new approach to analyticity of Dirichlet-Neumann operators
• Steklov eigenvalues of reflection-symmetric nearly circular planar domains
• A Stable High‐Order Method for Two‐Dimensional Bounded‐Obstacle Scattering
• Computational Methods for Extremal Steklov Problems

This page was built for publication: Analyticity of Steklov eigenvalues of nearly circular and nearly spherical domains