6 citations · 6 across the 1 of their papers we have counts for
3 papers
A Kam Theorem for Space-Multidimensional Hamiltonian PDE
L Hakan Eliasson, Benoit Grebert, Sergei Kuksin
We present an abstract KAM theorem, adapted to space-multidimensional hamiltonian PDEs with smoothing non-linearities. The main novelties of this theorem are that: the in…
KAM for the nonlinear beam equation
L. Hakan Eliasson, Benoît Grébert, Sergei B. Kuksin
In this paper we prove a KAM theorem for small-amplitude solutions of the non linear beam equation on the d-dimensional torus $$u_{tt}+Δ^2 u+m u + \partial_u G(x,u)=0\ ,\quad t\in…
KAM for the non-linear Beam equation 2: A normal form theorem
L. Hakan Eliasson, Benoît Grèbert, Sergeï B. Kuksin
We prove an abstract KAM theorem adapted to space-multidimensional hamiltonian PDEs with regularizing nonlinearities. It applies in particular to the singular perturbation problem…