Nonlinear Analysis Unit (Daniel Spector)
FALL 2021 Nonlinear Analysis Seminar Series
https://groups.oist.jp/nonlinearanalysis/fall-2021-nonlinear-analysis-seminar-series
Tuesday 9th November 2021, 15:00–16:00, online on Zoom or M210
Speaker：Denis Serre, The UMPA
Title: Compensated integrability: classical and singular Divergence-BV symmetric tensors
Abstract:
Compensated Integrability is a recent tool of Functional Analysis, which extends both the Gagliardo Inequality and the Isoperimetric Inequality. It concerns the determinant of positive symmetric tensors whose row-wise Divergence is controlled in the space of bounded measures. It is somehow dual to Brenier’s Theorem of Optimal Transport. Its applications cover several domains in Mathematical Physics and in Differential Geometry.