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Article Contents

# Generalized fronts for one-dimensional reaction-diffusion equations

• 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.
Mathematics Subject Classification: Primary: 35K57.

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