Becker-Döring方程的截断估计
Cutoff estimates for the Becker-Döring equations
摘要：
本文继续了作者以前的研究（SIAM J. Math. Anal.，2016年）的趋势趋于平衡的贝克尔-德林方程与亚临界质量，通过表征某些精细性质的解决方案的线性方程。特别地，我们部分地刻画了线性化算子的谱，表明它包含多项式加权空间中的整个虚轴。此外，我们证明了详细的截止估计，建立上界和下界的一类扰动平衡的生命。
英文摘要：
This paper continues the authors' previous study (SIAM J. Math. Anal., 2016) of the trend toward equilibrium of the Becker-Döring equations with subcritical mass, by characterizing certain fine properties of solutions to the linearized equation. In particular, we partially characterize the spectrum of the linearized operator, showing that it contains the entire imaginary axis in polynomially weighted spaces. Moreover, we prove detailed cutoff estimates that establish upper and lower bounds on the lifetime of a class of perturbations to equilibrium.
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