论文标题

定量的陶拜式方法与弥漫性边界运算符无碰撞传输方程

Quantitative tauberian approach to collisionless transport equations with diffuse boundary operators

论文作者

Lods, Bertrand, Mokhtar-Kharroubi, Mustapha

论文摘要

本文提供了一种与一般弥漫性边界运算符的无碰撞传输半组的时间渐近方法。不变密度的强稳定性源自古典Ingham定理。该定理的最新定量版本提供了与均衡的代数汇率。

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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