Subdifferential evolution inclusion in nonconvex analysis
type: Item
instance of: scholarly article
title: Subdifferential evolution inclusion in nonconvex analysis
zbMATH Open document ID: 0968.35068
DOI: 10.1023/A:1009821417484
author: Sophie Guillaume
published in: Positivity
publication date: 2001-09-18T00:00:00Z
review text: Existence, uniqueness and regularity of solutions to the evolution inclusion \(0\in U'(t)+ \partial(g\circ F)(U(t))\), \(U(0)= u_0\) are proved. Here \(g: X\to \mathbb{R}\cup\{\infty\}\) is a closed convex proper function with \(X\) a Hilbert space, \(F: Y\to X\) is a continuously differentiable mapping whose Jacobian is locally Lipschitz continuous, \(Y\) is another Hilbert space. Stability and asymptotic behavior of the solution are also given.
reviewed by: Wenming Bian
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 34G25
zbMATH DE Number: 1545636
zbMATH Keywords: convex composite function
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: regularity
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1545636