A resolvent approach for the stability of the critical or essential spectra to perturbed \(C_0\)-semigroups on Banach spaces with application in biological transport

DOI10.1016/j.jmaa.2024.128102OpenAlexW4390726222MaRDI QIDQ6191113

Hatem Megdiche

Publication date: 6 March 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2024.128102

zbMATH Keywords

Banach spacespectral analysisresolvent approachbiological transportperturbed \(C_0\)-semigroups

Mathematics Subject Classification ID

Groups and semigroups of linear operators, their generalizations and applications (47Dxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) General theory of linear operators (47Axx)

Cites Work

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• A resolvent approach to the stability of essential and critical spectra of perturbed \(C_0\)-semigroups on Hilbert spaces with applications to transport theory
• On \(L^1\)-spectral theory of neutron transport.
• Boundary value problems in abstract kinetic theory
• A perturbation theorem for the essential spectral radius of strongly continuous semigroups
• Compact operators in Banach lattices
• On the spectral mapping theorem for perturbed strongly continuous semigroups
• The critical spectrum of a strongly continuous semigroup.
• On a resolvent approach for perturbed semigroups and application to \(L^1\)-neutron transport theory
• A compactness result for perturbed semigroups and application to a transport model
• Semigroup generation properties of streaming operators with noncontractive boundary conditions
• Optimal spectral theory of the linear Boltzmann equation
• On linear kinetic equations involving unbounded cross-sections
• Mathematical Models in Population Biology and Epidemiology
• Spectral analysis of transport equations with bounce-back boundary conditions
• The Stability of Positive Semigroups on L p Spaces
• Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions
• Dynamical systems in population biology

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