Calculus of Variations and Geometric Measure Theory
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From coarea formula to level set differential equations

Valentino Magnani (Dip. Mat. Univ. Pisa)

created by gelli on 05 Oct 2016

12 oct 2016 -- 17:00   [open in google calendar]

Aula Seminari Dipartimento di Matematica di Pisa


We present how the problem of coarea formula in the Heisenberg group leads us rather unexpectedly to a system of ``level set differential equations'', generated by a defining mapping of very low regularity. In this system we cannot write classical derivatives, since its formally associated vector field does not exist a priori. We solve this problem using tools from rough path theory, where a privileged role is played by the sewing lemma. These results have been obtained in collaboration with Dario Trevisan and Eugene Stepanov.

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