The linear Boltzmann equation with the dependent operators in a space of distributions

DOI10.1080/00411458808230872zbMath0675.45012OpenAlexW2064797923MaRDI QIDQ3830006

Lothar Wenzel

Publication date: 1988

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458808230872

zbMATH Keywords

existenceuniquenessspace of distributionslinear Boltzmann equationtime dependent operators

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Operations with distributions and generalized functions (46F10) Transport processes in time-dependent statistical mechanics (82C70) Abstract integral equations, integral equations in abstract spaces (45N05)

Cites Work

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• On a theorem for linear evolution equations of hyperbolic type
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Perturbational aspects of the linear transport equation
• Ein Störungssatz für lokalkonvexe Räume
• Evolutionsgleichungen in lokalkonvexen Räumen
• On the nonlinear Boltzmann equation with force term
• Die Boltzmann-Gleichung mit zeitunabhängigen Operatoren in einem Raum von Distributionen
• Eine Boltzmanngleichung mit inhomogener Randbedingung
• Semi-groups of operators in locally convex spaces

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