On some variational problems and L1-estimates
- ๐ค Speaker: Bogdan Raita (University of Oxford)
- ๐ Date & Time: Wednesday 21 February 2018, 16:00 - 17:00
- ๐ Venue: MR14, Centre for Mathematical Sciences
Abstract
We review some recent work on the analysis of linear elliptic systems with L1-data. Such estimates contrast classical Calderรณn-Zygmund theory by Ornstein’s non-inequality. Surprising weaker estimates in full-space were proved relatively recently by Bourgain, Brezis, and Van Schaftingen, under new conditions specific to the L1-case. We provide the analogous results on domains, which require strictly stronger conditions.
Series This talk is part of the Cambridge Analysts' Knowledge Exchange series.
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Wednesday 21 February 2018, 16:00-17:00