Time asymptotic description of the solution to an abstract Cauchy problem and application to transport equation

DOI10.1007/S00209-010-0698-1zbMath1231.47010OpenAlexW2086557307MaRDI QIDQ636773

Aref Jeribi, Maher Mnif, Boulbeba Abdelmoumen

Publication date: 30 August 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0698-1

zbMATH Keywords

Banach spacesperturbation theoryCauchy problemtransport equationtime asymptotic behaviour

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55)

Related Items (3)

On the Time Asymptotic Behavior of a Transport Operator with Diffuse Reflection Boundary Condition ⋮ Time asymptotic behavior of the solution of an abstract Cauchy problem given by a one-velocity transport operator with Maxwell boundary condition ⋮ Time asymptotic description of an abstract Cauchy problem solution and application to transport equation

Cites Work

• Unnamed Item
• Unnamed Item
• Solution of the linearized Boltzmann transport equation for the slab geometry
• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• Spectral methods in linear transport theory
• Time asymptotic behaviour for unbounded linear operators arising in growing cell populations.
• Time asymptotic behaviour for a one-velocity transport operator with Maxwell boundary condition
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Some properties of strictly singular operators
• REGULARITY AND TIME ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO TRANSPORT EQUATIONS
• Spectral Theory for Contraction Semigroups on Hilbert Space
• Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry
• Some notes on the spectral properties of C_osemigroups generated by linear transport operators
• On a transport operator arising in growing cell populations II. Cauchy problem
• The Stability of Positive Semigroups on L p Spaces
• Compactness properties for linear transport operators with abstract boundary conditions in slab geometry
• On a generalization of the Schauder and Krasnosel'skii fixed points theorems on Dunford-Pettis spaces and applications

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