Smooth measures and nonlinear equations of mathematical physics
type: Item
instance of: scholarly article
title: Smooth measures and nonlinear equations of mathematical physics
zbMATH Open document ID: 0869.35079
DOI: 10.1007/BF02362384
published in: Journal of Mathematical Sciences (New York)
publication date: 1997-03-23T00:00:00Z
review text: The author derives equations for the logarithmic derivatives of measures (densities) satisfying Kolmogorov forward and backward equations. The equations are nonlinear partial parabolic equations, one of the examples being the Burgers equation. This procedure gives probabilistic representation of solutions for a class of nonlinear PDEs.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 60H07
zbMATH DE Number: 993658
zbMATH Keywords: logarithmic derivative
zbMATH Keywords: smooth measure
zbMATH Keywords: Kolmogorov equations
author: Yana Belopolskaya
MaRDI profile type: Publication
cites work: A mathematical introduction to fluid mechanics
cites work: Branching particle systems and superprocesses
cites work: Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions
cites work: The Malliavin calculus, a functional analytic approach
cites work: Stochastic differential geometry
cites work: The partial differential equation ut + uux = μxx
cites work: Q3996311
full work available at URL: https://doi.org/10.1007/bf02362384
OpenAlex ID: W35956408
description: scientific article; zbMATH DE number 993658