Gradient flows in asymmetric metric spaces

IV Chenchiah, MO Rieger, J Zimmer

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)

Abstract

This article is concerned with gradient flows in asymmetric metric spaces, that is, spaces with a topology induced by an asymmetric metric. Such an asymmetry appears naturally in many applications, e.g., in mathematical models for materials with hysteresis. A framework of asymmetric gradient flows is established under the assumption that the metric is weakly lower-semicontinuous in the second argument (and not necessarily on the first), and an existence theorem for gradient flows defined on an asymmetric metric space is given.
Translated title of the contributionGradient flows in asymmetric metric spaces
Original languageEnglish
Pages (from-to)5820 - 5834
Number of pages15
JournalNonlinear Analysis: Theory, Methods and Applications
Volume71
Issue number11
DOIs
Publication statusPublished - 1 Dec 2009

Bibliographical note

Publisher: Elsevier

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