Research
Research interests
Local solvability of partial differential equations, degenerate partial differential operators, pseudo-differential operators, a priori estimates, microlocal analysis, hypoellipticity, Carleman estimates, dispersive equations, pseudo-differential operators on Lie groups.
CV: My cv
PhD Thesis: My Thesis
Preprints
S. Federico, Carleman estimates for third order operators of KdV and non KdV-type and applications, Preprint. Arxiv https://arxiv.org/abs/2401.01777 (2024)
S. Federico, D. Rottensteiner, M. Ruzhansky, Weyl Calculus on Graded Groups, Preprint. Arxiv https://arxiv.org/abs/2306.04275 (2023).
M. Chatzakou, S. Federico, B. Zegarlinski, Poincaré inequalities on Carnot Groups and spectral gap of Schrödinger operators, Preprint. Arxiv https://arxiv.org/abs/2211.09471 (2022).
Publicatons
S. Federico, Zongyuan Li, Xueying Yu, On the uniqueness of variable coefficient Schrödinger equations. To appear in Communications in Contemporary Mathematics (2024). Arxiv https://arxiv.org/abs/2211.03740.
D. Cardona, S. Federico, M. Ruzhansky, Subelliptic sharp Gårding inequality on compact Lie groups. To appear in Pure and Applied Analysis (2024). Arxiv https://arxiv.org/abs/2110.00838.
S. Federico, M. Ruzhansky, Smoothing and Strichartz estimates for degenerate Schrödinger-type equations, Nonlinear Analysis, Volume 242 (2024), 113500. https://www.sciencedirect.com/science/article/pii/S0362546X24000191?dgcid=author
M. Chatzakou, S. Federico, B. Zegarlinski, q-Poincaré inequalities on Carnot Groups with filiform type Lie algebra, Potential Anal. 60, 1067-1092 (2024). https://doi.org/10.1007/s11118-023-10079-4
S. Federico, Smoothing Effect and Strichartz Estimates for Some Time-degenerate Schrödinger Equations. In: Ruzhansky, M., Wirth, J. (eds) Harmonic Analysis and Partial Differential Equations (2022). Trends in Mathematics. Birkäuser, Cham. https://doi.org/10.1007/978-3-031-24311-0_2
S. Federico, On some variable coefficient Schrödinger operators on ℝ× ℝn and on ℝ×𝕋 2. Matemática Contemporânea Vol 52 (2022), ICMC Summer Meeting on Differential Equations - Chapter 2022, 17-37, http://doi.org/10.21711/231766362022/rmc522.
S. Federico, A. Parmeggiani, On a class of pseudodifferential operators on the product of compact Lie groups. Math. Nachr. 269 (2023), 217-242, https://doi.org/10.1002/mana.202100400.
S. Federico, G. Staffilani, Sharp Strichartz estimates for some variable coefficient Schrödinger operators on ℝ×𝕋 2. Mathematics in Engineering 2022, 4 (4): 1-23, doi:10.3934/mine.2022033.
S. Federico, G. Staffilani, Smoothing effect for time-degenerate Schrödinger operators, Journal of Differential Equations 298 (2021) 205-247, https://doi.org/10.1016/j.jde.2021.07.006.
S. Federico, Local Solvability of Some Partial Differential Operators with Non-smooth Coefficients, Springer Nature Switzerland AG 2021 M. Cicognani et al. (eds), Anomalies in Partial Differential Equations, Springer INdAM Series 43, http://doi.org/10.1007/978-3-030-61346-4_12.
S. Federico, A. Parmeggiani, On the Solvability of a Class of Second Order Degenerate Operators. P. Boggiatto et al. (eds.), Advances in Microlocal and Time-Frequency Analysis, Springer Nature Switzerland AG 2020, pp. 207-226.
S. Federico, Sufficient conditions for local solvability of some degenerate PDO with complex subprincipal symbol. J. Pseudo-Differ. Oper. Appl. 10 (4) (2019) 929-940, doi:10.1007/s11868-018-0264-x.
S. Federico, A. Parmeggiani, On the local solvability of a class of degenerate second order operators with complex coefficients. Comm. Partial Differential Equations 43 (10) (2018) 1485-1501.
S. Federico, Local solvability of a class of degenerate second order operators. Bruno Pini Mathematical Analysis Seminar, Vol. 8 (2017) 185-203.
S. Federico, A model of solvable second order PDE with non smooth coefficients. J. Math. Anal. Appl. 440 (2016) 661-676.
S. Federico, A. Parmeggiani, Local solvability of a class of degenerate second order operators. Comm. Partial Differential Equations 41 (03) (2016) 484-514.