Research

Gradient flows in asymmetric metric spaces


Reference:

Chenchiah, I. V., Rieger, M. O. and Zimmer, J., 2009. Gradient flows in asymmetric metric spaces. Nonlinear Analysis: Theory Methods & Applications, 71 (11), pp. 5820-5834.

Related documents:

[img]
Preview
PDF (Zimmer_NATMA_2009_71_11_5820.pdf) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (2003kB) | Preview

    Official URL:

    http://dx.doi.org/10.1016/j.na.2009.05.006

    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.

    Details

    Item Type Articles
    CreatorsChenchiah, I. V., Rieger, M. O. and Zimmer, J.
    DOI10.1016/j.na.2009.05.006
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementZimmer_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
    RefereedYes
    StatusPublished
    ID Code16519

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...