Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions.
Résumé
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 Lp-spaces (1