TY - JOUR
T1 - Cutoffestimates for the linearized Becker-Döring equations
AU - Murray, Ryan W.
AU - Pego, Robert L.
N1 - Publisher Copyright:
© 2017 International Press.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
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U2 - 10.4310/CMS.2017.v15.n6.a10
DO - 10.4310/CMS.2017.v15.n6.a10
M3 - Article
AN - SCOPUS:85021357388
SN - 1539-6746
VL - 15
SP - 1685
EP - 1702
JO - Communications in Mathematical Sciences
JF - Communications in Mathematical Sciences
IS - 6
ER -