On gradient flows
type: Item
instance of: scholarly article
title: On gradient flows
zbMATH Open document ID: 0927.37007
author: Arrigo Cellina
author: Mihai Vornicescu
published in: Journal of Differential Equations
publication date: 1998-11-19T00:00:00Z
review text: The purpose of this paper is to contribute to the theory of existence of solutions to ordinary differential equations in \(\mathbb{R}^n\), when the right hand side of the equation is not necessarily continuous. More precisely the authors study existence and uniqueness of solutions for the equation \(x'= \nabla u(x)\) when \(u\) is not necessarily differentiable everywhere. This problem is closely related with (multidimensional) calculus of variations.
Mathematics Subject Classification ID: 37B35
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 34A36
zbMATH DE Number: 1206630
zbMATH Keywords: gradient flow
zbMATH Keywords: subdifferential
zbMATH Keywords: discontinuous right-hand side
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: calculus of variations
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jdeq.1997.3376
OpenAlex ID: W2091016837
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DOI: 10.1006/JDEQ.1997.3376
description: scientific article; zbMATH DE number 1206630