Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions
Bertrand Lods, Mohammed Sbihi · Mathematical Methods in the Applied Sciences · 2005
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 <p < ∞) for three 2D-transport models with Maxwell-boundary conditions. Copyright © 2005 John Wiley & Sons, Ltd.