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arXiv 2005.12583math.APmath-phmath.MP

Quantitative tauberian approach to collisionless transport equations with diffuse boundary operators

Bertrand Lods, Mustapha Mokhtar-Kharroubi

英文摘要:

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.

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