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Spectral analysis of traveling waves for nonlocal evolution equations
Peter W. Bates, Fengxin Chen
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Source: Crossref
Published: Jan 1, 2006
DOI: 10.1137/s0036141004443968
Open original source ↗Source abstract
Monotone traveling waves have been shown to exist for a broad class of nonlocal bistable evolution equations. In this note we examine the spectrum of the operator obtained by linearizing about such a traveling wave and hence show that these waves are exponentially asymptotically stable, up to translation.
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