Perturbations of embedded eigenvalues for the planar bilaplacian

DOI10.1016/j.jfa.2010.10.001zbMath1219.35148arXiv1009.0409OpenAlexW2112952531WikidataQ60143878 ScholiaQ60143878MaRDI QIDQ610762

Sara Maad Sasane, Björn Sandstede, Gianne Derks

Publication date: 10 December 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0409

zbMATH Keywords

perturbationembedded eigenvaluebilaplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40) General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Higher-order elliptic equations (35J30)

Related Items

Local Spectral Deformation, Perturbations of embedded eigenvalues for a magnetic Schrödinger operator on a cylinder, Persistence of embedded eigenvalues

Cites Work

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• Persistence of embedded eigenvalues
• Perturbations of embedded eigenvalues for the biLaplacian on a cylinder
• Nonlinear stability of time-periodic viscous shocks
• Dichotomies in stability theory
• Exponential dichotomies for solitary-wave solutions of semilinear elliptic equations on infinite cylinders
• Eigenfunctions and eigenvalues for a scalar Riemann-Hilbert problem associated to inverse scattering
• Introduction to spectral theory. With applications to Schrödinger operators
• On the Structure of Spectra of Modulated Travelling Waves
• Bifurcation to Spiral Waves in Reaction-Diffusion Systems
• Bessel Functions: Monotonicity and Bounds
• Bifurcations of new eigenvalues for the Benjamin–Ono equation
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations