Gradient flows in asymmetric metric spaces

I V Chenchiah; M O Rieger; J Zimmer

doi:10.1016/j.na.2009.05.006

Gradient flows in asymmetric metric spaces

I V Chenchiah, M O Rieger, J Zimmer

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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. (C) 2009 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	5820-5834
Number of pages	15
Journal	Nonlinear Analysis: Theory Methods & Applications
Volume	71
Issue number	11
DOIs	https://doi.org/10.1016/j.na.2009.05.006
Publication status	Published - 2009

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Zimmer_NATMA_2009_71_11_5820.pdf
NOTICE: this is the author’s version of a work that was accepted for publication in Nonlinear Analysis: Theory, Methods & Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nonlinear Analysis: Theory, Methods & Applications, Volume 71, Issue 11, 1 December 2009, Pages 5820-5834, DOI 10.1016/j.na.2009.05.006
Accepted author manuscript, 1.96 MB

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Gradient flows in asymmetric metric spaces

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