Time asymptotic behavior of the solution of an abstract Cauchy problem given by a one-velocity transport operator with Maxwell boundary condition

DOI10.1007/s13348-011-0049-5zbMath1275.47091OpenAlexW2071622549MaRDI QIDQ1944723

Nedra Moalla, Salma Charfi, Aref Jeribi

Publication date: 27 March 2013

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-011-0049-5

zbMATH Keywords

asymptotic behaviorCauchy problem\(C_0\)-semigroupisotropic scatteringtransport operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)

Cites Work

• Unnamed Item
• Unnamed Item
• Time asymptotic description of the solution to an abstract Cauchy problem and application to transport equation
• 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
• Time asymptotic behaviour for unbounded linear operators arising in growing cell populations.
• On the spectrum of a one-velocity transport operator with Maxwell boundary condition
• Time asymptotic behaviour for a one-velocity transport operator with Maxwell boundary condition
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Spectral analysis of collectively compact, strongly convergent operator sequences
• On a transport operator arising in growing cell populations II. Cauchy problem

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