A Trotter--Kato product formula for a class of non-autonomous evolution equations
type: Item
instance of: scholarly article
title: A Trotter--Kato product formula for a class of non-autonomous evolution equations
zbMATH Open document ID: 1156.47040
author: Pierre-A. Vuillermot
author: Walter F. Wreszinski
author: V. A. Zagrebnov
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-09-10T00:00:00Z
review text: The authors announce (a detailed proof and more detailed applications are referred to a separate publication) a new result concerning an evolution system generated by the sum of two linear, nonautonomous, unbounded operators. They get a Trotter-Kato type formula, saying that this evolution system can be expressed as the strong limit of a product of the analytic contraction semigroups generated by the two operators. The authors state this result assuming very general assumptions on the domains of the operators. Finally, some possible applications of this result are mentioned.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 5324038
zbMATH Keywords: Trotter-Kato formula
zbMATH Keywords: evolution equations
zbMATH Keywords: sum of operators
MaRDI profile type: Publication
full work available at URL: j.na.2008.02.070
OpenAlex ID: W1991634424
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DOI: 10.1016/J.NA.2008.02.070
description: scientific article; zbMATH DE number 5324038