期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 244, 期 12, 页码 3080-3118出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2007.11.002
关键词
integral equation; nonlocal anisotropic dispersal; travelling waves; KPP nonlinearity
类别
We study the travelling wave problem J * u - u - cu' + f(u) = 0 in R, u(-infinity) = 0, u(+infinity) = 1 with an asymmetric kernel J and a monostable nonlinearity. We prove the existence of a minimal speed, and under certain hypothesis the uniqueness of the profile for c not equal 0. For c = 0 we show examples of nonuniqueness.(c) 2007 Elsevier Inc. All rights reserved.
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