5 papers
A note on Riemann-Liouville fractional Sobolev spaces
Alessandro Carbotti, Giovanni E. Comi
Taking inspiration from a recent paper by Bergounioux, Leaci, Nardi and Tomarelli we study the Riemann-Liouville fractional Sobolev space , for f…
Sensitivity analysis based dimension reduction of multiscale models
Anna Nikishova, Giovanni E. Comi, Alfons G. Hoekstra
In this paper, the sensitivity analysis of a single scale model is employed in order to reduce the input dimensionality of the related multiscale model, in this way, improving the…
A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up
Giovanni E. Comi, Giorgio Stefani
We introduce the new space of functions with bounded fractional variation in of order via a new distributional approach exploiting…
Cauchy Fluxes and Gauss-Green Formulas for Divergence-Measure Fields over General Open Sets
Gui-Qiang G. Chen, Giovanni E. Comi, Monica Torres
We establish the interior and exterior Gauss-Green formulas for divergence-measure fields in over general open sets, motivated by the rigorous mathematical formulation of the…
The Gauss-Green theorem in stratified groups
Giovanni E. Comi, Valentino Magnani
We lay the foundations for a theory of divergence-measure fields in noncommutative stratified nilpotent Lie groups. Such vector fields form a new family of function spaces, which g…