### Abstract

Original language | English |
---|---|

Pages (from-to) | 5820-5834 |

Number of pages | 15 |

Journal | Nonlinear Analysis: Theory Methods & Applications |

Volume | 71 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2009 |

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### Cite this

*Nonlinear Analysis: Theory Methods & Applications*,

*71*(11), 5820-5834. https://doi.org/10.1016/j.na.2009.05.006

**Gradient flows in asymmetric metric spaces.** / Chenchiah, I V; Rieger, M O; Zimmer, J.

Research output: Contribution to journal › Article

*Nonlinear Analysis: Theory Methods & Applications*, vol. 71, no. 11, pp. 5820-5834. https://doi.org/10.1016/j.na.2009.05.006

}

TY - JOUR

T1 - Gradient flows in asymmetric metric spaces

AU - Chenchiah, I V

AU - Rieger, M O

AU - Zimmer, J

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=68349084635&partnerID=8YFLogxK

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

U2 - 10.1016/j.na.2009.05.006

DO - 10.1016/j.na.2009.05.006

M3 - Article

VL - 71

SP - 5820

EP - 5834

JO - Nonlinear Analysis: Theory Methods & Applications

JF - Nonlinear Analysis: Theory Methods & Applications

SN - 0362-546X

IS - 11

ER -