Pareto optimal structures producing resonances of minimal decay under \(L^1\)-type constraints

DOI10.1016/j.jde.2014.04.002zbMath1290.49097arXiv1308.1943OpenAlexW2055558686MaRDI QIDQ2449608

Illya M. Karabash

Publication date: 9 May 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1943

zbMATH Keywords

damped stringbounds for resonanceshigh-Q cavitylong-lived metastable stateresonance multi-objective structural optimizationtwo-parameter perturbations

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Resonance in context of PDEs (35B34) Zero sets of holomorphic functions of several complex variables (32A60) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Variational methods for eigenvalues of operators (49R05) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

Related Items (5)

Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities ⋮ Generic asymptotics of resonance counting function for Schrödinger point interactions ⋮ Pareto optimization of resonances and minimum-time control ⋮ On the multilevel internal structure of the asymptotic distribution of resonances ⋮ Asymptotics of Random Resonances Generated by a Point Process of Delta-Interactions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimization of scattering resonances
• Maximally resonant potentials subject to p-norm constraints
• Maximization of the quality factor of an optical resonator
• The realization of a canonical system with dissipative boundary conditions at one end of a segment in terms of the coefficient of dynamic flexibility
• Asymptotic distribution of resonances in one dimension
• Spectral analysis of the Regge problem with parameters
• General lower bounds for resonances in one dimension
• Optimization of quasi-normal eigenvalues for Krein-Nudelman strings
• Discrete and continuous boundary problems
• Jordan blocks and generalized bi-orthogonal bases: realizations in open wave systems
• The inverse generalized Regge problem
• Emergence of Periodic Structure from Maximizing the Lifetime of a Bound State Coupled to Radiation
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• Potentials Producing Maximally Sharp Resonances
• On the spectral functions of the string
• The rate at which energy decays in a damped String
• Differential properties of the spectral abscissa and the spectral radius for analytic matrix-valued mappings
• Variational Analysis
• On the Optimal Value of the Spectral Abscissa for a System of Linear Oscillators
• Perturbing the Critically Damped Wave Equation
• The rate at which energy decays in a string damped at one end
• Nonlinear Eigenvalue Problem for Optimal Resonances in Optical Cavities
• Optimization of quasi-normal eigenvalues for 1-D wave equations in inhomogeneous media; description of optimal structures

This page was built for publication: Pareto optimal structures producing resonances of minimal decay under \(L^1\)-type constraints