Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions
type: Item
instance of: scholarly article
title: Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions
author: Medet Nursultanov
author: William Trad
author: J. C. Tzou
author: Leo Tzou
published in: Research in the Mathematical Sciences
publication date: 2025-01-10T00:00:00Z
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 7965247
zbMATH Keywords: eigenvalues
zbMATH Keywords: Neumann Laplacian
zbMATH Keywords: singular perturbation
MaRDI profile type: Publication
cites work: Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications
cites work: Layer potential techniques for the narrow escape problem
cites work: Reconstruction of small inhomogeneities from boundary measurements
cites work: Q3615497
cites work: Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
cites work: An accurate formula for the reconstruction of conductivity inhomogeneities.
cites work: Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
cites work: Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary
cites work: Dirichlet-to-Neumann maps on bounded Lipschitz domains
cites work: Small volume asymptotics for anisotropic elastic inclusions
cites work: Small perturbations in the type of boundary conditions for an elliptic operator
cites work: Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions
cites work: Q5715034
cites work: A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
cites work: Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
cites work: Asymptotic expansion of eigenvalues of the Laplace operator in domains with singularly perturbed boundary
cites work: Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps
cites work: Diffusion on a Sphere with Localized Traps: Mean First Passage Time, Eigenvalue Asymptotics, and Fekete Points
cites work: Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory
cites work: Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region
cites work: Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region
cites work: Asymptotics of the eigenvalues of a boundary value problem with rapidly oscillating boundary conditions
cites work: Splitting a multiple eigenvalue in the boundary value problem for a membrane clamped on a small part of the boundary
cites work: Q3842445
cites work: Eigenvalues of the Laplacian in a disk with the Dirichlet condition on finitely many small boundary parts in the critical case
cites work: A general perturbation formula for electromagnetic fields in presence of low volume scatterers
cites work: Hitting probabilities for Brownian motion on Riemannian manifolds.
cites work: Stochastic Narrow Escape in Molecular and Cellular Biology
cites work: Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps
cites work: Introduction to Riemannian Manifolds
cites work: Determining anisotropic real-analytic conductivities by boundary measurements
cites work: Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
cites work: Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff
cites work: The narrow capture problem on general Riemannian surfaces.
cites work: Narrow escape problem in the presence of the force field
cites work: On the mean first arrival time of Brownian particles on Riemannian manifolds
cites work: Asymptotics of the principal eigenvalue of the Laplacian in 2D periodic domains with small traps
cites work: Asymptotics of the eigenelements of the Laplacian with singular perturbations of boundary conditions on narrow and thin sets
cites work: Strict inequality of Robin eigenvalues for elliptic differential operators on Lipschitz domains
cites work: Narrow escape. I
cites work: Q2736011
cites work: Strong Localized Perturbations of Eigenvalue Problems
cites work: Über die asymptotische Verteilung der Eigenwerte.
DOI: 10.1007/S40687-024-00486-3
description: scientific article; zbMATH DE number 7965247