The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations
1 Department of Mathematics, Central
Michigan University, Mt.
2 Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250, USA
⋆ Corresponding author. E-mail: firstname.lastname@example.org
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