Stability of generalized transition fronts

Journal Article

We study the qualitative properties of the generalized transition fronts for the reaction-diffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transition fronts are unique up to translation in time and are globally exponentially stable for the solutions of the Cauchy problem. The results hold for reaction rates that have arbitrary spatial variations provided that the rate is uniformly positive and bounded from above. © Taylor & Francis Group, LLC.

Full Text

Duke Authors

Cited Authors

  • Mellet, A; Nolen, J; Roquejoffre, JM; Ryzhik, L

Published Date

  • 2009

Published In

Volume / Issue

  • 34 / 6

Start / End Page

  • 521 - 552

International Standard Serial Number (ISSN)

  • 0360-5302

Digital Object Identifier (DOI)

  • 10.1080/03605300902768677