Kinetic Theories and the Boltzmann Equation: Lectures Given at the 1st 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held at Montecatini, Italy, June 10-18, 1981
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algebraic Analysis analytic Applications approximation assume assumption Banach space Boltzmann equation boundary conditions bounded called Chapter classical collision compact complex consider constant contains continuous convergence corresponding defined denote density depends derived describe determined differential discussed distribution function Edited eigenvalue equilibrium estimate example existence expression fact field finite force function given gives global H-theorem independent initial value integral interaction introduced lattice lectures Lemma limit linear mapping Math Mathematical means measure method mild molecules mollifier moments multiplicity Note obtain operator particles physical positive possible present problem Proceedings proof properties prove Rational References require resolvent respect result satisfies scattering semigroup sequence simple solution solve spatial spectrum step sufficiently term theorem Theory tion transport operator unique value problem variables velocity Vlasov weak