Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842493 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 15 Pages |
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.
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Authors
Isaac Vikram Chenchiah, Marc Oliver Rieger, Johannes Zimmer,