Generalized fronts for one-dimensional reaction-diffusion equations

Abstract

For a class of one-dimensional reaction-diffusion equations, we establish the existence of generalized fronts, as recently defined by Berestycki and Hamel. We also prove uniform nondegeneracy estimates, such as a lower bound on the time derivative on some level sets, as well as a lower bound on the spatial derivative.

Locations

• Discrete and Continuous Dynamical Systems - View - PDF
• HAL (Le Centre pour la Communication Scientifique Directe) - View