S. Biagi

collaborators

2 papers

math.AP2026

Fundamental solution for higher order homogeneous hypoelliptic operators structured on HÃ¶rmander vector fields

Stefano Biagi, Marco Bramanti

We introduce and study a new class of higher order differential operators defined on $R^{n}$ , which are built with HÃ¶rmander vector fields, homogeneous w.r.t. a family of…

math.AP2025

Global Sobolev theory for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and $V M O$ in space

Stefano Biagi, Marco Bramanti

We consider Kolmogorov-Fokker-Planck operators of the form $L u = i, j = 1 \sum q a_{ij} (x, t) u_{x_{i} x_{j}} + k, j = 1 \sum N b_{j k} x_{k} u_{x_{j}} - \partial_{t} u,$ with $\…

Fundamental solution for higher order homogeneous hypoelliptic operators structured on HÃ¶rmander vector fields

Global Sobolev theory for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and VMO in space

Global Sobolev theory for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and $V M O$ in space