Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Elliptic equations on manifolds, general theory (58J05)

Cites Work

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Eigenvalues of the Laplacian in a disk with the Dirichlet condition on finitely many small boundary parts in the critical case
Strict inequality of Robin eigenvalues for elliptic differential operators on Lipschitz domains
Dirichlet-to-Neumann maps on bounded Lipschitz domains
Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps
Layer potential techniques for the narrow escape problem
Splitting a multiple eigenvalue in the boundary value problem for a membrane clamped on a small part of the boundary
An accurate formula for the reconstruction of conductivity inhomogeneities.
Hitting probabilities for Brownian motion on Riemannian manifolds.
Complete asymptotic expansions of solutions of the system of elastostatics in the presence of an inclusion of small diameter and detection of an inclusion
Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff
Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
Reconstruction of small inhomogeneities from boundary measurements
On the mean first arrival time of Brownian particles on Riemannian manifolds
Small perturbations in the type of boundary conditions for an elliptic operator
Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region
Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region
Small volume asymptotics for anisotropic elastic inclusions
Narrow escape. I
Asymptotic expansion of eigenvalues of the Laplace operator in domains with singularly perturbed boundary
Asymptotics of the eigenvalues of a boundary value problem with rapidly oscillating boundary conditions
A general perturbation formula for electromagnetic fields in presence of low volume scatterers
Strong Localized Perturbations of Eigenvalue Problems
Determining anisotropic real-analytic conductivities by boundary measurements
Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
Introduction to Riemannian Manifolds
Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions
Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary
Asymptotics of the principal eigenvalue of the Laplacian in 2D periodic domains with small traps
Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory
Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications
Diffusion on a Sphere with Localized Traps: Mean First Passage Time, Eigenvalue Asymptotics, and Fekete Points
Stochastic Narrow Escape in Molecular and Cellular Biology
Asymptotics of the eigenelements of the Laplacian with singular perturbations of boundary conditions on narrow and thin sets
Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps
Über die asymptotische Verteilung der Eigenwerte.
The narrow capture problem on general Riemannian surfaces.
Narrow escape problem in the presence of the force field

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