University of Birmingham > Talks@bham > Analysis seminar >  Theme & variations on div \mu = \sigma

Theme & variations on div \mu = \sigma

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If you have a question about this talk, please contact Diogo Oliveira E Silva.

The PDE div \mu = \sigma for (vector) measures \mu and \sigma appears – sometimes in a slightly hidden way – in many different problems of geometric measure theory and the calculus of variations, for instance in the structure theory of normal currents, Lipschitz functions, varifolds, and liftings for BV maps. In this talk I will survey a number of recent results about this equation and other related PDEs. As applications, I will discuss the structure of singularities of solutions, dimensional estimates, integral functionals on BV, and several versions of Rademacher’s theorem (both in Euclidean and non-Euclidean settings).

This talk is part of the Analysis seminar series.

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