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On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability
N. Bellomo, G. Toscani
Source abstract
The analysis of the initial value problem for the nonlinear Boltzmann equation is considered in this paper. A theorem defining global existence and uniqueness for initial data which decay at infinity with an inverse power law is the main result of this work and is obtained by suitable application of fixed point theorems in Banach spaces. The theorem also defines the asymptotic stability of the solutions.
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