E. Stepanov

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20172022

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math.FA2020

Lie brackets of nonsmooth vector fields and commutation of their flows

Chiara Rigoni, Eugene Stepanov, Dario Trevisan

It is well-known that the flows generated by two smooth vector fields commute, if the Lie bracket of these vector fields vanishes. This assertion is known to extend to Lipschitz co…

math.FA2019

Integration of nonsmooth $2$ -forms: from Young to Itô and Stratonovich

Giovanni Alberti, Eugene Stepanov, Dario Trevisan

We show that geometric integrals of the type $\int_{Ω} f d g^{1} \land d g^{2}$ can be defined over a two-dimensional domain $Ω$ when the functions $f$ , $g^{1}$ , $g^2\colon \mathbb{R}^…

Lie brackets of nonsmooth vector fields and commutation of their flows

Integration of nonsmooth 2-forms: from Young to Itô and Stratonovich

Integration of nonsmooth $2$ -forms: from Young to Itô and Stratonovich