On the variational form of evolution equations
type: Item
instance of: scholarly article
title: On the variational form of evolution equations
zbMATH Open document ID: 0585.58014
DOI: 10.1016/0167-2789(85)90006-5
author: Eugene Litinsky
published in: Physica D
publication date: 1985-01-01T00:00:00Z
review text: The author gives a new definition for representability in the form of a variational derivative; a particular case of this definition yields the classical expression for the variational derivative. A close connection is demonstrated between the variational derivative and the exterior differentiation operator d. For the case of functions of one variable one can obtain effective computational criteria which solve the ''hidden variability'' problem.
Mathematics Subject Classification ID: 58E30
zbMATH DE Number: 3938080
zbMATH Keywords: evolution equations
zbMATH Keywords: Banach space
zbMATH Keywords: Poincaré's theorem
zbMATH Keywords: Korteweg-de- Vries equation
zbMATH Keywords: variational derivative
reviewed by: Michael Th. Rassias
MaRDI profile type: Publication
full work available at URL: 0167-2789(85)90006-5
OpenAlex ID: W2034489519
cites work: Q5538494
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
description: scientific article; zbMATH DE number 3938080