Trace class properties of the non homogeneous linear Vlasov–Poisson equation in dimension 1+1
Bruno Després
Sorbonne-Université, CNRS, Université de Paris, France
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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 + bounded derivatives.
Cite this article
Bruno Després, Trace class properties of the non homogeneous linear Vlasov–Poisson equation in dimension 1+1. J. Spectr. Theory 11 (2021), no. 2, pp. 709–742
DOI 10.4171/JST/354