Bismut type differentiation of semigroups
type: Item
instance of: scholarly article
zbMATH Open document ID: 0999.60054
author: Marc Arnaudon
author: Anton Thalmaier
publication date: 2002-04-28T00:00:00Z
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 1701839
zbMATH Keywords: Stratonovich stochastic differential equation on manifold
zbMATH Keywords: Bismut type differential formula
MaRDI profile type: Publication
title: Bismut type differentiation of semigroups
review text: Let NEWLINE\[NEWLINE\delta X= A(X)\delta Z+ A_0(X) dt\tag{1}NEWLINE\]NEWLINE be a Stratonovich stochastic differential equation on smooth \(n\)-dimensional manifold. The authors consider the minimal semigroup to (1) on functions and forms and present the Bismut type differentiation formulas for this semigroup in the case elliptic and hypoelliptic. This result is extended to nonlinear situations, to the harmonic maps between Riemannian manifolds and to the solutions of nonlinear heat equation.NEWLINENEWLINEFor the entire collection see [Zbl 0968.00043].
reviewed by: Maria Stolarczyk
description: scientific article; zbMATH DE number 1701839