On precise center stable manifold theorems for certain reaction-diffusion and Klein-Gordon equations

Academic Article

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.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Stanislavova M; Stefanov A
  • Start Page

  • 2298
  • End Page

  • 2307
  • Volume

  • 238
  • Issue

  • 23-24