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On some variational problems and L1-estimates

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If you have a question about this talk, please contact Ollie McEnteggart.

We review some recent work on the analysis of linear elliptic systems with L1-data. Such estimates contrast classical Calderón-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.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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