Calculus of Variations and Geometric Measure Theory
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On weak notions of gradient in metric measure spaces

Luigi Ambrosio (SNS Pisa)

created by magnani on 02 Nov 2011

9 nov 2011 -- 17:00   [open in google calendar]

Sala Seminari, Department of Mathematics, Pisa University

Abstract.

In the seminar I will illustrate several notions of (modulus of) gradient arising in the theory of Sobolev classes in metric measure spaces. A byproduct of the recent work with G.Savare' and N.Gigli is the equivalence of these notions, obtained via optimal transportation tools. The open case of W{1,1} or BV maps will also be illustrated.

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