Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899846 | Physica D: Nonlinear Phenomena | 2009 | 10 Pages |
Abstract
We consider positive, radial and exponentially decaying steady state solutions of the general reaction–diffusion and Klein–Gordon type equations and present an explicit construction of infinite-dimensional invariant manifolds in the vicinity of these solutions. The result is a precise stable manifold theorem for the reaction–diffusion equation and a precise center-stable manifold theorem for the Klein–Gordon equation, which include the co-dimension of the manifolds and the decay rates for even perturbations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Milena Stanislavova, Atanas Stefanov,