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

DOI10.1007/s10492-014-0041-yzbMath1313.35055OpenAlexW2095270287MaRDI QIDQ742900

Omar Jedidi, Aref Jeribi, Boulbeba Abdelmoumen

Publication date: 19 September 2014

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143598

zbMATH Keywords

evolution equationspectral theorytransport equationperturbed semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) One-parameter semigroups and linear evolution equations (47D06) Nuclear reactor theory; neutron transport (82D75) Initial value problems for linear first-order PDEs (35F10)

Related Items (1)

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Cites Work

• Time asymptotic description of the solution to an abstract Cauchy problem and application to transport equation
• Some applications of the regularity and irreducibility on transport theory
• Semigroups of linear operators and applications to partial differential equations
• Boundary value problems in abstract kinetic theory
• Time asymptotic behaviour for unbounded linear operators arising in growing cell populations.
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• On linear kinetic equations involving unbounded cross-sections
• Un modèle de Rotenberg avec la loi à mémoire parfaite
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