Existence and nonexistence of traveling waves for a nonlocal monostable equation

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Yagisita, Hiroki
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Abstract
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We consider the nonlocal analogue of the Fisher-KPP equation. We do not assume that the Borel-measure is absolutely continuous with respect to the Lebesgue measure. We gives a sufficient condition for existence of traveling waves, and a necessary condition for existence of periodic traveling waves.
Comment: 22 pages, submitted to Publications of the Research Institute for Mathematical Sciences. arXiv admin note: text overlap with arXiv:0807.3612
Keywords
Mathematics - Analysis of PDEs, 35K57, 35K65, 35K90, 45J05.
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