Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840874 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 8 Pages |
Abstract
This paper is concerned with entire solutions of a monostable reaction–advection–diffusion equation in infinite cylinders without the condition f′(u)≤f′(0)f′(u)≤f′(0). By constructing a quasi-invariant manifold, we prove that there exist two classes of entire solutions. Furthermore, we show that one class of such entire solutions is unique up to space and time translation.
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Authors
Wei-Jie Sheng, Nai-Wei Liu,