We discuss the spectral properties of collisional semigroupsa ssociated 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.
Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions.
LODS, BERTRAND;
2006-01-01
Abstract
We discuss the spectral properties of collisional semigroupsa ssociated 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
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