Research interests: dispersive PDEs, stability/instability of solutions, Hamiltonian dynamics, semiclassical analysis, dynamical systems
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Publications:
B. Langella, A. Maspero and M. T. Rotolo, Growth of Sobolev norms for completely resonant quantum harmonic oscillators on R^2, Journal of Differential Equations 433: 113221, (2025).
Preprints:
G. Rivière and M. T. Rotolo, Sobolev instability for perturbations of periodic transport equations, preprint arXiv: 2510.17350, (2025).
M. T. Rotolo, Long-time behavior of resonant time-dependent perturbations of periodic transport equations on R, preprint arXiv: 2511:19034, (2025).
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