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