Generalized Strichartz estimates for the massive Dirac equation with critical potentials, with E. Danesi and E. Séré, https://arxiv.org/abs/2510.23283.
Dispersive estimates for Dirac equations in Aharonov-Bohm magnetic fields: massless case, with P. D'Ancona, Z. Yin and J. Zhang, submitted.
Strichartz estimates for the half wave/Klein-Gordon and Dirac Equations on compact manifolds without boundary, with E. Danesi and L. Meng, Math. Ann., 389, 3009–3042 (2024)
Large time well posedness for a Dirac-Klein Gordon system, with A.S. de Suzzoni, L. Meng and J. Sok, Nonlinear Anal., 239 113420 (2024).
Strichartz estimates for the Dirac equation on asymptotically flat manifolds, with A. S. de Suzzoni and L. Meng, Ann. Sc. Norm. Super. Pisa Cl. Sci, (5) Vol. XXV, 1799-1812 (2024).
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications, with E. Séré, and J. Zhang, Comm. Partial Differential Equations Vol. 48 n. 3, 355-385 (2023).
Global Strichartz estimates for the Dirac equation on symmetric spaces, with J. Ben-Artzi, A.S. de Suzzoni and J. Zhang, Forum of Mathematics, Sigma, Vol. 10:e 25 1–38, (2022).
Generalized Strichartz estimates for wave and Dirac equations in Aharonov-Bohm magnetic fields, with Z. Yin and J. Zhang, Dynamics of PDE 19, No.1, 71-90, (2022).
Local in time Strichartz estimates for the Dirac equation on spherically symmetric spaces, with A.S. de Suzzoni, Int. Math. Res. Not. IMRN, Vol. 2022, No. 4, pp. 2729–2771 (2022).
Dispersive stabilization for phase transitions, with M. Strani and B. Texier, Pure and Applied Analysis, Vol. 3, No. 4, (2021).
A Dirac field interacting with point nuclear dynamics, with A.S. de Suzzoni and D. Noja, Math. Ann. 376, 1261-1301 (2020).
Invariance of Gibbs measures under the flows of Hamiltonain equations on the real line, with A.S. De Suzzoni, Commun. Contemp. Math Vol. 22, No. 2 (2020).
Weak dispersion for the Dirac equation on asymptotically flat and warped product spaces, with A.S. De Suzzoni, Discrete Contin. Dyn. Syst 39(8), pp. 4359-4398, (2019).
Weak dispersive estimates for fractional Aharonov-Bohm-Schroedinger groups, with L. Fanelli, Dynamics of PDE Vol. 16 n.1, 95-103, (2019) .
A limiting absorption principle for the Helmholtz equation with variable coefficients, with P. D'Ancona and R. Lucà, J. Spectral Theory no. 4, 1349-1392, (2018).
Dispersive estimates for the Dirac equation in an Aharonov-Bohm field, with L. Fanelli, J. Differential equations 263 7, 4382-4399, (2017).
Singular integrals with angular integrability, with R. Lucà, Proc. Amer. Math. Soc. 144, 3413-3418, (2016).
Local smoothing estimates for the massless Dirac equation in 2 and 3 dimensions, with E. Séré, J. Funct. Anal 271 no.8, 2339-2358, (2016).
Helmholtz and dispersive equations with variable coefficients on exterior domains, with P. D'Ancona and R. Lucà, SIAM J. Math. Anal. 48, no.3 1798-1832, (2016).
Invariant measure for the Schrödinger equation on the real line, with A.S. De Suzzoni, J. Funct. Anal. 269 no. 1, 271–324, (2015).
Continuity of the flow of KdV with regard to the Wasserstein metrics and application to an invariant measure, with A.S. de Suzzoni, J. Differential equations 259, no. 3, 1024–1067, (2015).
Smoothing estimates for variable coefficients Schroedinger equation with electromagnetic potential, J. Math. Anal. Appl. 402, pp. 286-296, (2013).
Endpoint estimates and global existence for the nonlinear Dirac equation with a potential, with P. D'Ancona, J. Differential equations 254, pp. 2233-2260, (2013).
Weighted L^p estimates for powers of selfadjoint operators, with P. D'Ancona, Advances in Mathematics 229, pp. 501-530, (2012).
Virial identity and dispersive estimates for the n-dimensional Dirac equation, J. Math. Sci. Univ. Tokyo 18, pp. 1-23, (2011).
Global small solutions to the critical Dirac equation with potential, Nonlinear Analysis 74, pp. 6060-6073, (2011).
Dispersive estimates for the Dirac-Coulomb equation, with E. Séré, and J. Zhang, to appear on Springer-INDAM series.
Hankel transforms and weak dispersion, with L. Fanelli, to appear on MATRIX annals.
Dispersive dynamics of the Dirac equation on curved spaces, Proceeding of the XVII International conference on Hyperbolic Problems - Theory, Numerics, Applications (HYP2018), AIMS on Applied Mathematics Vol. 10, 346- 352.
Stability of invariant measures and continuity of the KdV flow, Proceeding of the XV International conference on Hyperbolic Problems - Theory, Numerics, Applications (HYP2014), Bull. Braz. Math. Soc. New series 47 (1) 1-10.
The cubic nonlinear Dirac equation, Actes de Journées EDP 2012, Biarritz.