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

Abstract : 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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https://hal.archives-ouvertes.fr/hal-02366266
Contributor : Bruno Després Connect in order to contact the contributor
Submitted on : Friday, November 15, 2019 - 5:59:46 PM
Last modification on : Wednesday, December 9, 2020 - 3:15:04 PM
Long-term archiving on: : Sunday, February 16, 2020 - 5:55:17 PM

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Bruno Després. Trace class properties of the non homogeneous linear Vlasov-Poisson equation in dimension 1+1. 2019. ⟨hal-02366266⟩

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