FALL 2021 Nonlinear Analysis Seminar Series

Tuesday 9th November 2021, 16:00–17:00 JST (UTC+9), online on Zoom

Professor 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.

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