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math.AP2023★ 1 cited
Local well posedness for a system of quasilinear pdes modelling suspension bridges
Roberto Feola, Filippo Giuliani, Felice Iandoli +1
In this paper we provide a local well posedness result for a quasilinear beam-wave system of equations on a one-dimensional spatial domain under periodic and Dirichlet boundary con…
math.AP2023
On the lifespan of solutions and control of high Sobolev norms for the completely resonant NLS on tori
Roberto Feola, Jessica Elisa Massetti
We consider a completely resonant nonlinear Schrödinger equation on the -dimensional torus, for any , with polynomial nonlinearity of any degree , , which…