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Publication 16-CNA-020

Cutoff Estimates For The Becker-Döring Equations

Ryan Murray
Department of Mathematics
Penn State University
State College, PA, USA
rwm22@psu.edu

Robert L. Pego
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
rpego@andrew.cmu.edu

Abstract: This paper continues the authorsí 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.

Get the paper in its entirety as  16-CNA-020.pdf


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