The decay rates of Traveling Waves for a class of Nonlocal Evolution Equations

2011/05/20 by Zhao, Guangyu, Ruan, Shigui
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1105.4157

Abstract

We obtain the precise decay rates of traveling wave for a class of nonlocal evolution equations arising in the theory of phase transitions. We also investigate the spectrum of the operator obtained by linearizing at such a traveling wave. The detailed description of the spectrum is established.

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