Calculus of Variations and Geometric Measure Theory

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.