An application of the Kantorovich-Rubinstein maximum principle in the theory of the Tjon-Wu equation

DOI10.1006/jdeq.1999.3674zbMath0946.45004OpenAlexW2050098401MaRDI QIDQ1970036

Janusz Traple, Andrzej Lasota

Publication date: 12 October 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3674

zbMATH Keywords

asymptotic stabilityKantorovich-Rubinstein maximum principleKantorovich-Rubinstein metricTjon-Wu equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Singular nonlinear integral equations (45G05)

Related Items (9)

Properties of stationary solutions of a generalized Tjon-Wu equation ⋮ Asymptotic stability of a linear Boltzmann-type equation ⋮ Stochastic Operators and Semigroups and Their Applications in Physics and Biology ⋮ Applications of the Kantorovich–Rubinstein Maximum Principle in the Theory of Boltzmann Equations ⋮ Fixed point, approximate fixed point and Kantorovich--Rubinstein maximum principle in convex metric spaces ⋮ Model of phenotypic evolution in hermaphroditic populations ⋮ A nonlinear version of the Kantorovich-Rubinstein maximum principle ⋮ Asymptotic stability of some nonlinear Boltzmann-type equations ⋮ Norm conservation for generalized kinetic population models with delay

Cites Work

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• The Boltzmann equation for weakly inhomogeneous data
• Stability and exponential convergence for Boltzmann equation
• Asymptotic behaviour of solutions of the Tjon-Wu equation
• On the Tjon-Wu representation of the Boltzmann equation
• Mass transhipment problems and ideal metrics

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