G. Comi

activity

20182024

most citedA distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up

77 citations · 216 across the 15 of their papers we have counts for

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Showing 2022 · math.FAShow all

2 papers · 2 filters

math.FA2022

Representation formulas for pairings between divergence-measure fields and $B V$ functions

Giovanni E. Comi, Graziano Crasta, Virginia De Cicco +1

The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the…

math.FA2022★ 9 cited

Failure of the local chain rule for the fractional variation

Giovanni E. Comi, Giorgio Stefani

We prove that the local version of the chain rule cannot hold for the fractional variation defined in arXiv:1809.08575. In the case $n = 1$ , we prove a stronger result, exhibiting…

Representation formulas for pairings between divergence-measure fields and BV functions

Failure of the local chain rule for the fractional variation

Representation formulas for pairings between divergence-measure fields and $B V$ functions