Assume a single reaction-diüsion equation has zero as an asymp- totically stable stationary point. Then we prove that there exist no localized travelling waves with non-zero speed. If [lim infjxj!1 u(x); lim supjxj!1 u(x)] is included in an open interval of zero that does not include other stationary points, then the speed has to be zero or the travelling profile u has to be identically zero.
|Original language||English (US)|
|Number of pages||12|
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|State||Published - Aug 2013|
- Reaction-diüsion equations
- Travelling spots
- Travelling waves