Probability Theory and Related Fields

, Volume 97, Issue 1, pp 259–285

Laplace asymptotics for reaction-diffusion equations

  • Gérard Ben Arous
  • Alain Rouault
Article

DOI: 10.1007/BF01199323

Cite this article as:
Arous, G.B. & Rouault, A. Probab. Th. Rel. Fields (1993) 97: 259. doi:10.1007/BF01199323

Summary

We obtain sharp (i.e. non logarithmic) asymptotics for the solution of non homogeneous Kolmogorov-Petrovski-Piskunov equation depending on a small parameter ε, for points ahead of the Freidlin-KPP front.

Mathematics Subject Classification (1991)

35K5535K5760F1060H3060J6560J80

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Gérard Ben Arous
    • 1
  • Alain Rouault
    • 1
    • 2
  1. 1.Départment de MathématiquesUniversité Paris SudOrsay CedexFrance
  2. 2.Department de MathématiquesUniversité de Versailles-Saint-QuentinVersaillesFrance