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。