时间：9月3日下午4:00

地点：数学楼310

题目: q-Heat Flow on Asymmetric Metric Measure Spaces

报告人：赵唯（华东理工大学）

摘要: We investigate q-heat flow on metric measure spaces equipped with asymmetric distance functions. Extending concepts from the symmetric case, we introduce upper gradients and corresponding Lq-energy functionals as well as q-Laplacian in the asymmetric setting. We study q-heat flow as the L2-gradient flow for Lq-energy and the gradient flow for Renyi energy, extending some results of Ambrosio-Gigli-Savare to asymmetric distances. A wide class of asymmetric metric measure spaces is provided by irreversible Finsler manifolds, which serve to construct various model examples by pointing out genuine differences between the symmetric and asymmetric settings.