Article ID Journal Published Year Pages File Type
840874 Nonlinear Analysis: Theory, Methods & Applications 2011 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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