The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations

Publisher: Edp Sciences

E-ISSN: 1760-6101|10|6|142-162

ISSN: 0973-5348

Source: Mathematical Modelling of Natural Phenomena , Vol.10, Iss.6, 2015-10, pp. : 142-162

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

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