Simon Nowak

collaborators

3 papers

math.AP2026

Partial regularity in nonlocal systems I

Cristiana De Filippis, Giuseppe Mingione, Simon Nowak

Solutions to nonlinear integro-differential systems are regular outside a negligible closed subset whose Hausdorff dimension can be explicitly bounded from above. This subset can b…

math.AP2026

Partial regularity in nonlocal systems II

Cristiana De Filippis, Giuseppe Mingione, Simon Nowak

Solutions to nonlinear nonlocal systems of order $2 s > 1$ in $R^{n}$ are $C^{1, I^\pm}$ , for every $I^\pm < 2 s - 1$ , outside a closed singular set whose Hausdorff dimension is less than…

math.AP2024

Gradient regularity and first-order potential estimates for a class of nonlocal equations

Tuomo Kuusi, Simon Nowak, Yannick Sire

We consider nonlocal equations of order larger than one with measure data and prove gradient regularity in Sobolev and HÃ¶lder spaces as well as pointwise bounds of the gradient in…