Product formulas for solutions of initial value partial differential equations. I
type: Item
instance of: scholarly article
title: Product formulas for solutions of initial value partial differential equations. I
zbMATH Open document ID: 0553.60050
DOI: 10.1016/0022-0396(85)90078-6
author: Marc A. Berger
author: Alan D. Sloan
published in: Journal of Differential Equations
publication date: 1985-01-01T00:00:00Z
review text: Product integral representations are obtained for solutions of evolution equations with \(n^{th}\) order constant coefficient elliptic generators. These representations involve a special class of integral operators with the generalized Gauss kernel. They stem from the authors' \(n^{th}\) order version of the Itô calculus. The extension to time dependent generators is also presented.
Mathematics Subject Classification ID: 60H05
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 60J65
zbMATH DE Number: 3881599
zbMATH Keywords: product integral representations
zbMATH Keywords: evolution equations
MaRDI profile type: Publication
full work available at URL: 0022-0396(85)90078-6
OpenAlex ID: W1974632282
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description: scientific article; zbMATH DE number 3881599