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arxiv: 1105.4157 · v1 · pith:GBH42YPSnew · submitted 2011-05-20 · 🧮 math.CA · math.FA

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

classification 🧮 math.CA math.FA
keywords travelingclassdecayequationsevolutionnonlocalratesspectrum
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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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