The Transition to a Point Constraint in a Mixed Biharmonic Eigenvalue Problem

DOI10.1137/140979447zbMath1319.35120OpenAlexW592304891MaRDI QIDQ5255224

Theodore Kolokolnikov, Michael J. Ward, Alan E. Lindsay

Publication date: 12 June 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1c09396bc190b549357ef478feb5be374e33df9b

zbMATH Keywords

singular perturbationseigenvalue problemsbi-Laplacian

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Plates (74K20) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (4)

Asymptotics of the principal eigenvalue of the Laplacian in 2D periodic domains with small traps ⋮ A boundary integral equation method for mode elimination and vibration confinement in thin plates with clamped points ⋮ Bloch Waves in an Arbitrary Two-Dimensional Lattice of Subwavelength Dirichlet Scatterers ⋮ Perturbed eigenvalues of polyharmonic operators in domains with small holes

Cites Work

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• Singular variation of domains and eigenvalues of the Laplacian
• On the fundamental eigenfunctions of a clamped punctured disk
• Approximation of Dirichlet eigenvalues on domains with small holes
• Low-complexity computation of plate eigenmodes with Vekua approximations and the method of particular solutions
• A fourth-order model for MEMS with clamped boundary conditions
• Asymptotic Analysis of Localized Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems
• Strong Localized Perturbations of Eigenvalue Problems
• Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems
• Asymptotics of some nonlinear eigenvalue problems modelling a MEMS Capacitor. Part II: multiple solutions and singular asymptotics
• The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates
• Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps
• Asymptotics of eigenvalues of a plate with small clamped zone

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