Hyperbolicity of minimizers and regularity of viscosity solutions for random Hamilton-Jacobi equations

Details Hyperbolicity of minimizers and regularity of viscosity solutions for random Hamilton-Jacobi equations Hyperbolicity of minimizers and regularity of viscosity solutions for random Hamilton-Jacobi equations

2012-01-16

arxiv.org/abs/1201.3381v1

Mathematics

Dynamical Systems

Scientific paper

We show that for a family of randomly kicked Hamilton-Jacobi equations, the unique global minimizer is hyperbolic, almost surely. Furthermore, we prove the unique forward and backward viscosity solutions, though in general only Lipshitz, are smooth in a neighbourhood of the global minimizer. Our result generalizes the result of E, Khanin, Mazel and Sinai (\cite{EKMS00}) to dimension $d\ge 2$, and extends the result of Iturriaga and Khanin in \cite{IK03}.

Affiliated with

Also associated with

No associations

Rating

Hyperbolicity of minimizers and regularity of viscosity solutions for random Hamilton-Jacobi 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 Hyperbolicity of minimizers and regularity of viscosity solutions for random Hamilton-Jacobi equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolicity of minimizers and regularity of viscosity solutions for random Hamilton-Jacobi equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96378