Generalized Fronts for One-dimensional Reaction-diffusion Equations

  title={Generalized Fronts for One-dimensional Reaction-diffusion Equations},
  author={Antoine Mellet and Jean-Michel Roquejoffre},
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. 
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