Variational approximation for Fokker-Planck equation on Riemannian manifold

Abstract

Under the bounded geometry assumption on Riemannian manifold M, a variational approximation for Fokker-Planck equation on M is constructed by the scheme of Jordan et al. in SIAM J Math Anal 29(1):1-17, 1998. Moreover, the uniqueness and global L p -estimate of the solution for 1 < p