Smooth stable and unstable manifolds for stochastic partial differential equations

Details Smooth stable and unstable manifolds for stochastic partial differential equations Smooth stable and unstable manifolds for stochastic partial differential equations

2004-09-24

arxiv.org/abs/math/0409483v1

Mathematics

Dynamical Systems

Scientific paper

10.1007/s10884-004-7830-z

Invariant manifolds are fundamental tools for describing and understanding nonlinear dynamics. In this paper, we present a theory of stable and unstable manifolds for infinite dimensional random dynamical systems generated by a class of stochastic partial differential equations. We first show the existence of Lipschitz continuous stable and unstable manifolds by the Lyapunov-Perron's method. Then, we prove the smoothness of these invariant manifolds.

Affiliated with

Also associated with

No associations

Rating

Smooth stable and unstable manifolds for stochastic partial differential equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Smooth stable and unstable manifolds for stochastic partial differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Smooth stable and unstable manifolds for stochastic partial differential equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695271