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Trace class properties of the non homogeneous linear Vlasov–Poisson equation in dimension 1+1
Journal of Spectral Theory ( IF 1.0 ) Pub Date : 2021-07-14 , DOI: 10.4171/jst/354
Bruno Després 1
Affiliation  

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 + $\varepsilon$ bounded derivatives.

中文翻译:

1+1 维非齐次线性 Vlasov-Poisson 方程的迹类属性

我们从象征抽象散射理论的迹类特性的角度考虑非齐次线性化 Vlasov-Poisson 方程的抽象散射结构 [13, 14, 15, 19]。在维度 1+1 中,我们导出了一个原始的重构,它是跟踪类。它产生了 Moller 波算子的存在性。非均匀背景电场是周期性的,具有 4 + $\varepsilon$ 有界导数。
更新日期:2021-07-21
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