Publications

Preprints:

• E. Ipocoana, A. Rebucci,
  A variational approach to Ornstein-Uhlenbeck evolution operators and obstacle problems, arXiv:2609.21003, (2026).

• G. Pecorella, A. Rebucci,
  Fundamental solution and Harnack inequality for subelliptic evolution operators on Carnot groups, arXiv:2509.15982, (2025).

Published and accepted papers:

• F. Anceschi, H. Dietert, J. Guerand, A. Loher, C. Mouhot, A. Rebucci,
  Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators, J Éc. Polytech. Math. 13, 1393–1417 (2026). 

• A. Rebucci, M. Zizza,
  Geometric interpretation of the vanishing Lie Bracket for two-dimensional rough vector fields, J. Funct. Anal. 289(1), (2025).

• F. Anceschi, S. Polidoro, A. Rebucci,
  Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator, J. Evol. Equ. 24(93), (2024). 

•  A Rebucci, 
  Harnack inequality and maximum principle for degenerate Kolmogorov operators in divergence form, J. Math. Anal. Appl. 538(2), (2024).

•  F. Anceschi, A. Rebucci,
  On the obstacle problem associated to the Kolmogorov-Fokker-Planck operator with rough coefficients, Ann. di Mat. Pura ed Appl. 203, 1979–1995, (2024). 

•  F. Anceschi, A. Rebucci,
  A note on the weak regularity theory for degenerate Kolmogorov equations, J.Diff. Eq. 341, 538–88, (2022).

•  F. Anceschi, A. Rebucci,
  On the fundamental solution for degenerate Kolmogorov equations with rough coefficients, J. Elliptic Parabol. Equ. 9, 63–92, (2022).

•  E. Ipocoana, A. Rebucci,
  Pointwise estimates for degenerate Kolmogorov equations with Lp-source term, J. Evol. Equ. 22(1), 2, (2022).

•  S. Polidoro, A. Rebucci, B. Stroffolini,
  Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients, Commun. Pure Appl. Anal. 21(4), 1385-1416, (2022).

Peer-reviewed conference papers:

•  F. Anceschi, M. Piccinini, A. Rebucci,
  New perspectives on recent trends for Kolmogorov operators, Springer INdAM Series, vol 56. Springer, Singapore, (2024).

•  A. Rebucci,
  Regularity results for Kolmogorov equations based on a blow-up argument, Bruno Pini Mathematical Seminar 14(2), 139–162, (2023).