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Article Dans Une Revue Journal of Spectral Theory Année : 2021

Trace class properties of the non homogeneous linear Vlasov-Poisson equation in dimension 1+1

Bruno Després

Résumé

We consider the abstract scattering structure of the non homogeneous linearized Vlasov-Poisson equations from the viewpoint of trace class properties which are emblematic of the abstract scattering theory [13, 14, 15, 19]. In dimension 1+1, we derive an original reformulation which is trace class. It yields the existence of the Moller wave operators. The non homogeneous background electric field is periodic with 4 + ε bounded derivatives. Mathematics Subject Classification (2010). Primary: 47A40; Secondary: 35P25.
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Dates et versions

hal-02366266 , version 1 (15-11-2019)

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Bruno Després. Trace class properties of the non homogeneous linear Vlasov-Poisson equation in dimension 1+1. Journal of Spectral Theory, 2021, 11 (2), pp.709-742. ⟨10.4171/JST/354⟩. ⟨hal-02366266⟩
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