6533b860fe1ef96bd12c31b1

RESEARCH PRODUCT

Fokker–Planck equation with respect to heat measures on loop groups

Jinghai ShaoShizan Fang

subject

Mathematics(all)Dirichlet formGeneral Mathematics010102 general mathematicsMathematical analysis01 natural sciences010101 applied mathematicsEntropy (classical thermodynamics)Variational methodLoop groupHeat equationFokker–Planck equation0101 mathematicsConvection–diffusion equationLaplace operatorMathematics

description

Abstract The Dirichlet form on the loop group L e ( G ) with respect to the heat measure defines a Laplacian Δ DM on L e ( G ) . In this note, we will use Wasserstein distance variational method to solve the associated heat equation for a given data of finite entropy.

yearjournalcountryeditionlanguage
2011-09-01Bulletin des Sciences Mathématiques
https://doi.org/10.1016/j.bulsci.2011.07.004