Generic simplicity of the eigenvalues for a supported plate equation

DOI10.1016/j.na.2006.06.047zbMath1131.35011OpenAlexW2034393938MaRDI QIDQ881620

Marcone Corrêa Pereira

Publication date: 30 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.047

zbMATH Keywords

boundary perturbationsbiharmonic equationsgeneric propertiesbilaplacian operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (1)

Generic hyperbolicity of stationary solutions for a reaction-diffusion system

Cites Work

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• Eigenvalues of the Laplacian on symmetric regions
• A generic property for the eigenfunctions of the Laplacian
• Generic hyperbolicity for the equilibria of the one-dimensional parabolic equation\newline \(u_t=(a(x)u_x)+f(u)\)
• Generic Simplicity of the Spectrum and Stabilization for a Plate Equation
• Generic properties of equilibria of reaction-diffusion equations with variable diffusion
• Shape Sensitivity Analysis of Boundary Optimal Control Problems for Parabolic Systems
• Generic properties of nonlinear boundary value problems
• Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
• Generic Properties of Eigenfunctions
• Generic hyperbolicity for scalar parabolic equations

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