Cutoff estimates for the linearized Becker???D??ring equations
Cutoff estimates for the linearized Becker???D??ring equations
复制标题
线性化 Becker???D??环方程的截止估计
DOI：
10.4310/cms.2017.v15.n6.a10
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发表时间：
2017
影响因子：
1
通讯作者：
R. Pego
中科院分区：
文献类型：
--
作者：
Ryan W. Murray;R. Pego
.本文继续了作者以前的研究[R.默里和R. Pego，SIAM J. Math. Anal.，48：2819-2842，2016]的趋势趋于平衡的贝克尔-杜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。特别是，我们部分特征的线性算子的频谱，表明它包含整个虚轴多项式加权空间。此外，我们证明了详细的cuto估计，建立上界和下界的一类扰动平衡的生命。
. This paper continues the authors’ previous study [R. Murray and R. Pego, SIAM J. Math. Anal., 48:2819–2842, 2016] of the trend toward equilibrium of the Becker–D¨oring 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.