| Issue |
Math. Model. Nat. Phenom.
Volume 10, Number 6, 2015
Nonlocal reaction-diffusion equations
|
|
|---|---|---|
| Page(s) | 142 - 162 | |
| DOI | https://doi.org/10.1051/mmnp/20150610 | |
| Published online | 02 October 2015 | |
The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations
1 Department of Mathematics, Central
Michigan University, Mt.
Pleasant, MI
48859,
USA
2 Department of Mathematics, University
of Miami, Coral
Gables, FL
33124-4250,
USA
⋆ Corresponding author. E-mail: ruan@math.miami.edu
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.
Mathematics Subject Classification: 35K55 / 35K20 / 35P05 / 37L15
Key words: nonlocal evolution equation / traveling wave / exponential decay rate / spectral analysis
© EDP Sciences, 2015
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