We study the dynamics of Hamiltonian quasilinear PDEs close to elliptic equilibria. Under a suitable nonresonance condition we prove an averaging theorem according to which any solution corresponding to smooth initial data with small amplitude remains very close to a torus up to long times. An application to quasilinear wave equations in an n-dimensional paralleliped is given
The uniformly damped Korteweg¿de Vries (KdV) equation with periodic boundary conditions can be viewe...
We consider in this article diagonal parabolic systems arising in the context of stochastic differe...
We consider in this article diagonal parabolic systems arising in the context of stochastic differe...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 , Rome / CNR - Consigli...
We derive estimates on the magnitude of non-adiabatic interaction between a Hamiltonian partial diff...
We use the Galerkin averaging method to construct a coordinate transformation putting a nonlinear PD...
Consider a Hamiltonian PDE having an elliptic equilibrium at zero. Assuming a suitable condition on ...
We consider a class of linear time dependent Schrödinger equations and quasi-periodically forced non...
We consider a class of linear time dependent Schrödinger equations and quasi-periodically forced non...
For Hamiltonian systems of PDEs the stability of periodic waves is encoded by the Hessian of an acti...
For Hamiltonian systems of PDEs the stability of periodic waves is encoded by the Hessian of an acti...
In this thesis we consider two aspects of perturbed Hamiltonian systems by using special solutions o...
This work focusses on quasiperiodic time-dependent perturbations of ordinary differential equations ...
The book is devoted to partial differential equations of Hamiltonian form, close to integrable equat...
We consider in this article diagonal parabolic systems arising in the context of stochastic differe...
The uniformly damped Korteweg¿de Vries (KdV) equation with periodic boundary conditions can be viewe...
We consider in this article diagonal parabolic systems arising in the context of stochastic differe...
We consider in this article diagonal parabolic systems arising in the context of stochastic differe...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 , Rome / CNR - Consigli...
We derive estimates on the magnitude of non-adiabatic interaction between a Hamiltonian partial diff...
We use the Galerkin averaging method to construct a coordinate transformation putting a nonlinear PD...
Consider a Hamiltonian PDE having an elliptic equilibrium at zero. Assuming a suitable condition on ...
We consider a class of linear time dependent Schrödinger equations and quasi-periodically forced non...
We consider a class of linear time dependent Schrödinger equations and quasi-periodically forced non...
For Hamiltonian systems of PDEs the stability of periodic waves is encoded by the Hessian of an acti...
For Hamiltonian systems of PDEs the stability of periodic waves is encoded by the Hessian of an acti...
In this thesis we consider two aspects of perturbed Hamiltonian systems by using special solutions o...
This work focusses on quasiperiodic time-dependent perturbations of ordinary differential equations ...
The book is devoted to partial differential equations of Hamiltonian form, close to integrable equat...
We consider in this article diagonal parabolic systems arising in the context of stochastic differe...
The uniformly damped Korteweg¿de Vries (KdV) equation with periodic boundary conditions can be viewe...
We consider in this article diagonal parabolic systems arising in the context of stochastic differe...
We consider in this article diagonal parabolic systems arising in the context of stochastic differe...
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