Kolmogorov equations in Hilbert spaces with application to essential self-adjointness of symmetric diffusion operators
type: Item
instance of: scholarly article
title: Kolmogorov equations in Hilbert spaces with application to essential self-adjointness of symmetric diffusion operators
zbMATH Open document ID: 0956.60065
author: Hongwei Long
author: Isabel Simão
published in: Osaka Journal of Mathematics
publication date: 2001-03-02T00:00:00Z
review text: A Kolmogorov equation is considered for a semilinear stochastic evolution equation and is defined as mild solution. The existence and uniqueness of a classical solution is proved for the Kolmogorov equation by transition semigroup (Theorem 2.1). There are also given sufficient conditions so that the symmetric Kolmogorov-type operator is essentially selfadjoint (Theorems 3.2, 3.3).
reviewed by: Wilfried Grecksch
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 1462603
zbMATH Keywords: stochastic evolution equation
zbMATH Keywords: Kolmogorov equation
zbMATH Keywords: Kolmogorov-type operator
MaRDI profile type: Publication
Recommended article: On self-adjointness of symmetric diffusion operators
Recommended article: A semigroup approach to Kolmogoroff equations in Hilbert spaces
Recommended article: Q4397771
Recommended article: Q5423784
Recommended article: Q4364491
Recommended article: On left-invariant Hörmander operators in \(\mathbb R^N\). Applications to Kolmogorov-Fokker-Planck equations
Recommended article: Q5696768
Recommended article: Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces
Recommended article: Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space
Recommended article: Q4699240
description: scientific article; zbMATH DE number 1462603