2 papers
math.AP2026
On the control of high Sobolev norms for the Wave equation on over exponentially long times
Roberto Feola, Jessica Elisa Massetti
We consider a one-parameter family of nonlinear wave equations on the -dimensional torus, with polynomial nonlinearities of arbitrary degree , where . We investiga…
math.AP2024
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow
Dario Bambusi, Roberto Feola, Beatrice Langella +1
In this paper we prove an abstract result of almost global existence for small and smooth solutions of some semilinear PDEs on Riemannian manifolds with globally integrable geodesi…