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 < dim(M)/(dim(M) − 1) are obtained for a broad class of potential.
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