In these lectures we present an extension of Birkhoff normal form theorem to some Hamiltonian PDEs. The theorem applies to semilinear equations with nonlinearity of a suitable class.We present an application to the nonlinear wave equation on a segment or on a sphere. We also give a complete proof of all the results
This paper surveys some recent results about periodic solutions for Hamiltonian PDEs, which involve ...
: We consider the Birkhoff normal form for the water wave problem posed in a fluid of infinite depth...
In this paper we consider an abstract class of quasi-linear para-differential equations on the circl...
We prove an abstract Birkhoff normal form theorem for Hamiltonian partial differential equations (PD...
We consider the problem of extending to PDEs Birkhoff normal form theorem on Hamiltonian systems clo...
We prove an abstract Birkhoff normal form theorem for Hamiltonian Partial Differential Equations. Th...
Consider a Hamiltonian PDE having an elliptic equilibrium at zero. Assuming a suitable condition on ...
It was shown by V. E. Zakharov that the equations for water waves can be posed as a Hamiltonian dyna...
In this paper we give an extension of the Birkhoff--Lewis theorem to some semilinear PDEs. According...
The Birkhoff normal form procedure is a widely used tool for approximating a Hamiltonian systems by ...
We prove normal form results for Hamiltonian PDEs: the quintic nonlinear Schrödinger equation on the...
In this paper we give an extension of the Birkhoff–Lewis theorem to some semilinear PDEs. Accordingl...
International audienceWe consider {\em discretized} Hamiltonian PDEs associated with a Hamiltonian f...
55 pagesInternational audienceThese notes are based on lectures held at the Lanzhou university (Chin...
International audienceWe study the long time behavior of small solutions of semi-linear dispersive H...
This paper surveys some recent results about periodic solutions for Hamiltonian PDEs, which involve ...
: We consider the Birkhoff normal form for the water wave problem posed in a fluid of infinite depth...
In this paper we consider an abstract class of quasi-linear para-differential equations on the circl...
We prove an abstract Birkhoff normal form theorem for Hamiltonian partial differential equations (PD...
We consider the problem of extending to PDEs Birkhoff normal form theorem on Hamiltonian systems clo...
We prove an abstract Birkhoff normal form theorem for Hamiltonian Partial Differential Equations. Th...
Consider a Hamiltonian PDE having an elliptic equilibrium at zero. Assuming a suitable condition on ...
It was shown by V. E. Zakharov that the equations for water waves can be posed as a Hamiltonian dyna...
In this paper we give an extension of the Birkhoff--Lewis theorem to some semilinear PDEs. According...
The Birkhoff normal form procedure is a widely used tool for approximating a Hamiltonian systems by ...
We prove normal form results for Hamiltonian PDEs: the quintic nonlinear Schrödinger equation on the...
In this paper we give an extension of the Birkhoff–Lewis theorem to some semilinear PDEs. Accordingl...
International audienceWe consider {\em discretized} Hamiltonian PDEs associated with a Hamiltonian f...
55 pagesInternational audienceThese notes are based on lectures held at the Lanzhou university (Chin...
International audienceWe study the long time behavior of small solutions of semi-linear dispersive H...
This paper surveys some recent results about periodic solutions for Hamiltonian PDEs, which involve ...
: We consider the Birkhoff normal form for the water wave problem posed in a fluid of infinite depth...
In this paper we consider an abstract class of quasi-linear para-differential equations on the circl...