Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841048 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 8 Pages |
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.
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Authors
Yaqin Shu, Wan-Tong Li, Nai-Wei Liu,