Article ID Journal Published Year Pages File Type
841048 Nonlinear Analysis: Theory, Methods & Applications 2011 8 Pages PDF
Abstract

We consider transition fronts (generalized traveling fronts) of mono-stable reaction–diffusion equations with spatially inhomogeneous nonlinearity. By constructing a cutoff function and using an approximate method, we establish the existence of transition fronts of the equation. Furthermore, we give the uniform non-degeneracy estimates of the solutions, such as a lower bound on the time derivative on some level sets, as well as an upper bound on the spatial derivative.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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