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Pré-Publication, Document De Travail Année : 2020

Quantitative tauberian approach to collisionless transport equations with diffuse boundary operators

Résumé

This paper gives a spectral approach to time asymptotics of collisionless transport semi-groups with general diffuse boundary operators. The strong stability of the invariant density is derived from the classical Ingham theorem. A recent quantitative version of this theorem provides algebraic rates of convergence to equilibrium. MSC: primary 82C40; secondary 35F15, 47D06
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Dates et versions

hal-02616434 , version 1 (24-05-2020)

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Bertrand Lods, Mustapha Mokhtar-Kharroubi. Quantitative tauberian approach to collisionless transport equations with diffuse boundary operators. 2020. ⟨hal-02616434⟩
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