Cutoffestimates for the linearized Becker-Döring equations

Ryan W. Murray, Robert L. Pego

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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-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 cutoffestimates that establish upper and lower bounds on the lifetime of a class of perturbations to equilibrium.

Original languageEnglish (US)
Pages (from-to)1685-1702
Number of pages18
JournalCommunications in Mathematical Sciences
Volume15
Issue number6
DOIs
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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