Stability of the essential spectrum for 2D--transport models with Maxwell boundary conditions

Details Stability of the essential spectrum for 2D--transport models with Maxwell boundary conditions Stability of the essential spectrum for 2D--transport models with Maxwell boundary conditions

2005-04-04

arxiv.org/abs/math-ph/0504010v1

Physics

Mathematical Physics

23 pages

Scientific paper

10.1002/mma.684

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

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