Maxwell边界条件下二维输运模型本征谱的稳定性
Stability of the essential spectrum for 2D--transport models with Maxwell boundary conditions
摘要：
我们讨论了碰撞半群的谱性质与各种模型从运输理论利用之间的联系，所谓的预解式的方法和半群的方法。精确地说，我们证明了在任意$L^p$ -空间$(1 <p < \infty)$中，对于三个具有Maxwell-边界条件的二维输运模型，全输运半群的本质谱与无碰撞输运半群的本质谱是一致的。
英文摘要：
We discuss the spectral properties of collisional semigroups associated to various models from transport theory by exploiting the links between the so-called resolvent approach and the semigroup approach. Precisely, we show that the essential spectrum of the full transport semigroup coincides with that of the collisionless transport semigroup in any $L^p$--spaces $(1 <p < \infty)$ for three 2D--transport models with Maxwell--boundary conditions.
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