Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613293 | Journal of Differential Equations | 2008 | 39 Pages |
Abstract
We study the travelling wave problemJ⋆u−u−cu′+f(u)=0inR,u(−∞)=0,u(+∞)=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≠0c≠0. For c=0c=0 we show examples of nonuniqueness.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jérôme Coville, Juan Dávila, Salomé Martínez,