Wavefront Propagation for Reaction-Diffusion Systems of PDE
Abstract
The theory of viscosity solutions for Hamilton-Jacobi equations is used to study the asymptotic behavior of solutions to certain systems of reaction-diffusion PDE. Our principal result characterizes the region of convergence of the solution to an unstable rest point as the set where the solution of an appropriate Hamilton-Jacobi equation is positive. Keywords include: Partial differential equations; Wavefront propagation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1989
- Accession Number
- ADA210862
Entities
People
- G. Barles
- L. C. Evans
- Panagiotis E. Souganidis
Organizations
- Brown University