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L1 -stability of the solutions to an integral evolution equation of the non-linear particle transport theory

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Sommario

Si studia la stabilita non lineare nella norma di L 1 delle soluzioni di un'equazione integrale non lineare della teoria del trasporto di particelle, cui si riduce l'usuale equazione di Boltzmann nel caso spazialmente omogeneo e per particelle Maxwelliane con “cut-off”.

Summary

The problem of L 1-stability of the solutions to a non linear integral equation arising in particles transport theory is studied. This equation can represent the standard spatially homogeneous Boltzmann equation in the case of Maxwellium particles with “cut off”.

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Rionero, S., Guerriero, G. L1 -stability of the solutions to an integral evolution equation of the non-linear particle transport theory. Meccanica 24, 191–199 (1989). https://doi.org/10.1007/BF01556450

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