报告题目 (Title):Absolutely continuous curves and gradient flow in asymmetric metric spaces
中文标题:非对称度量空间中的绝对连续曲线和梯度流
报告人 (Speaker):赵唯(华东理工大学)
报告时间 (Time):2024年1月17日(周三) 15:00-16:00
报告地点 (Place):校本部GJ303
邀请人(Inviter):席东盟、李晋、张德凯、吴加勇
主办部门:永利数学系
报告摘要:This paper is devoted to the investigation of absolutely continuous curves and gradient flows in asymmetric metric spaces. We study basic properties of these curves, and establish the existence of a curve of maximal slope, which is regarded as a gradient curve in the non-smooth setting. Applications include existence results for gradient flows in Finsler manifolds and heat flow in compact Finsler manifolds.