AbstractThis paper deals with degenerate KAM theory for lower dimensional elliptic tori of infinite dimensional Hamiltonian systems, depending on one parameter only. We assume that the linear frequencies are analytic functions of the parameter, satisfy a weak non-degeneracy condition of Rüssmann type and an asymptotic behavior. An application to nonlinear wave equations is given
We prove the persistence of finite dimensional invariant tori associated with the defocusing nonline...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...
AbstractPersistence of invariant tori in a perturbed dynamical system requires two kinds of conditio...
This paper deals with degenerate KAM theory for lower dimensional elliptic tori of infinite dimensio...
This thesis deals with KAM theory for Hamiltonian partial differential equations. This theory concer...
We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small...
We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small...
We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small...
We present a new KAM theorem for infinite dimensional Hamiltonian and reversible dynamical systems. ...
We develop KAM theory close to an elliptic fixed point for quasi-linear Hamiltonian perturbations of...
It is well known that the phase space of a finite dimensional integrable system is filled by invaria...
In this paper a KAM-theorem about the existence of quasi-periodic motions in some infinite dimension...
In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-peri...
AbstractThis article is devoted to the proof that invariant tori still exist in perturbed integrable...
We prove the persistence of finite dimensional invariant tori associated with the defocusing nonline...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...
AbstractPersistence of invariant tori in a perturbed dynamical system requires two kinds of conditio...
This paper deals with degenerate KAM theory for lower dimensional elliptic tori of infinite dimensio...
This thesis deals with KAM theory for Hamiltonian partial differential equations. This theory concer...
We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small...
We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small...
We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small...
We present a new KAM theorem for infinite dimensional Hamiltonian and reversible dynamical systems. ...
We develop KAM theory close to an elliptic fixed point for quasi-linear Hamiltonian perturbations of...
It is well known that the phase space of a finite dimensional integrable system is filled by invaria...
In this paper a KAM-theorem about the existence of quasi-periodic motions in some infinite dimension...
In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-peri...
AbstractThis article is devoted to the proof that invariant tori still exist in perturbed integrable...
We prove the persistence of finite dimensional invariant tori associated with the defocusing nonline...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...
AbstractPersistence of invariant tori in a perturbed dynamical system requires two kinds of conditio...
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