My research pertains to microlocal analysis and partial differential
well-posedness for quasi-linear NLS with large Cauchy data on the
circle. (with R. Feola)
Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire.
Long time existence for fully nonlinear NLS with small Cauchy data
on the circle. (with R. Feola)
Annali della scuola Normale Superiore di Pisa (Classe di Scienze).
Long-time existence for semi-linear beam equations on irrational
tori (with J. Bernier, B. Grébert and R. Feola)
Journal of dynamics and differential equations
Dispersive Estimates for Schrödinger Operators with Point
Interactions in ℝ^3. (with R. Scandone)
Advances in Quantum Mechanics. Contemporary trends and open
Long time solutions for quasi-linear Hamiltonian perturbations of
Schrödinger and Klein-Gordon equations on tori. (with R.
Feola and B. Grébert)
A non-linear Egorov theorem and Poincaré-Birkhoff normal forms for
quasi-linear PDEs on the circle. (with R. Feola)
Local well-posedness for the quasi-linear Schrödinger equation on
tori. (with R. Feola)
Long-time stability of the quantum hydro-dynamic system on
irrational tori. (Accepted in "Mathematics in Engineering") (with R. Feola, F. Murgante)