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Sobolev space of vector/metric valued functions
发布人:许全华  发布时间:2022-11-15   浏览次数:10

题目:Sobolev space of vector/metric valued functions


报告人:Nikita Evseev(哈尔滨工业大学


时间:2022年11月24日(星期四),14:00-15:00


地点:哈工大明德楼B区201报告厅



摘要:We are concerned here with Sobolev-type space of functions valued in Banach space or in metric space. We review two ways of defining Sobolev maps valued in metric space: Reshetnyak’s approach vs deffinition via postcomposition with the Kuratowski embedding. In particular, we show that Sobolev map with values in dual-to-separable Banach space can be described in terms of classical weak derivatives in a weak* sense.