114 citations · 451 across the 22 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.AP2016
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…
math.AP2016
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…
math.AP2016★ 12 cited
KAM for the Klein Gordon equation on
Benoît Grébert, Eric Paturel
Recently the KAM theory has been extended to multidimensional PDEs. Nevertheless all these recent results concern PDEs on the torus, essentially because in that case the correspond…