Transition Fronts in Inhomogeneous Fisher-KPP Reaction-Diffusion Equations
Analysis of PDEs
2011-03-17 v1
Abstract
We use a new method in the study of Fisher-KPP reaction-diffusion equations to prove existence of transition fronts for inhomogeneous KPP-type non-linearities in one spatial dimension. We also obtain new estimates on entire solutions of some KPP reaction-diffusion equations in several spatial dimensions. Our method is based on the construction of sub- and super-solutions to the non-linear PDE from solutions of its linearization at zero.
Keywords
Cite
@article{arxiv.1103.3094,
title = {Transition Fronts in Inhomogeneous Fisher-KPP Reaction-Diffusion Equations},
author = {Andrej Zlatos},
journal= {arXiv preprint arXiv:1103.3094},
year = {2011}
}