Publication: Gradient flows in asymmetric metric spaces
Gradient flows in asymmetric metric spaces
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Chenchiah, I. V., Rieger, M. O., & Zimmer, J. (2009). Gradient flows in asymmetric metric spaces. Nonlinear Analysis: Theory, Methods & Applications, 71(11), 5820–5834. https://doi.org/10.1016/j.na.2009.05.006
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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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- Chenchiah, Isaac Vikram
- Rieger, Marc Oliver
- Zimmer, Johannes
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Chenchiah, I. V., Rieger, M. O., & Zimmer, J. (2009). Gradient flows in asymmetric metric spaces. Nonlinear Analysis: Theory, Methods & Applications, 71(11), 5820–5834. https://doi.org/10.1016/j.na.2009.05.006
