The Liouville operator
type: Item
instance of: scholarly article
title: The Liouville operator
zbMATH Open document ID: 0755.34003
DOI: 10.1007/BF01066694
published in: Ukrainian Mathematical Journal
publication date: 1992-09-27T00:00:00Z
review text: A Hamiltonian dynamical system in a domain with piecewise smooth boundary (reflections of trajectories are absolutely elastic) is considered. The full description of the infinitesimal operator \(A\) of the group \(I_ t\) of isometric operators defined by the trajectories is given; in particular, there is the description of the class of initial data for which the Liouville equation, \(\partial u/\partial t=-Au\), is strongly solvable.
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 58678
zbMATH Keywords: Hamiltonian dynamical system
zbMATH Keywords: piecewise smooth boundary
zbMATH Keywords: infinitesimal operator
zbMATH Keywords: Liouville equation
author: Anatoly N. Kochubei
reviewed by: Leonid Lebedev
MaRDI profile type: Publication
cites work: Q4185363
cites work: Q3999838
cites work: Q5614167
cites work: Q4040202
full work available at URL: https://doi.org/10.1007/bf01066694
OpenAlex ID: W2321882611
description: scientific article; zbMATH DE number 58678