On differentiability preserving properties of semigroups associated with one-dimensional singular diffusions
type: Item
instance of: scholarly article
title: On differentiability preserving properties of semigroups associated with one-dimensional singular diffusions
zbMATH Open document ID: 0562.60084
author: Norio Okada
published in: The Annals of Probability
publication date: 1985-01-01T00:00:00Z
review text: The author considers a one-dimensional diffusion on a finite interval. He shows that if the coefficient in the second derivative of the generator is not differentiable at boundary points then the semigroup of transition operators may not preserve the three-times differentiability of the initial data. Still, for sufficiently many initial data the one and two- times differentiability preserving properties hold true.
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60J50
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 60J35
zbMATH DE Number: 3896051
zbMATH Keywords: differentiability preserving properties
reviewed by: Yuri Kifer
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176993076
OpenAlex ID: W1974991232
DOI: 10.1214/AOP/1176993076
description: scientific article; zbMATH DE number 3896051