C.
KAM for PDE
- Hamiltonian
perturbations of infinite-dimensional linear systems with an
imaginary spectrum (FAA 21 (1987), 192-205)
- Perturbations
of quasiperiodic solutions of infinite-dimensional Hamiltonian systems
(Math. USSR Izvestiya 32
(1989), 39-62)
- The
perturbation theory for the quasiperiodic solutions of
infinite-dimensional Hamiltonian systems and its applications to the
Korteweg de Vries equation (Math. USSR Sbornik 64 (1989),
397-413)
-
An averaging theorem for distributed conservative systems and
its application to von Karman's equation
(Prikl. Matem. Mekhan. 53
(1989), 196-205)
- The
nonlinear Klein-Gordon equation on an interval as a perturbed
Sine-Gordon equation, with A.Bobenko (Comment. Math. Helv. 70 (1995),
63-112
- Invariant
Cantor manifolds of quasi-periodic oscillations for a nonlinear
Schrodinger equation, with J.Poschel (Annals of Math. 143
(1996), 149-179)
- A
KAM-theorem for equations of the Korteweg--de Vries type (Rev.
Math. & Math. Phys. 10
(1998), 1-64)
- Fifteen
years of KAM for PDE (The S.P.Novikov seminar, Amer.
Math. Soc. Transl 212 (2004), 237-258)
- Infinite
Toplitz--Lipschitz matrices and operators, with H.Eliasson (ZAMP 59
(2008), 24-50)
- KAM for
NLS, with H.Eliasson (a
preliminary version)
- On
reducibility of Schrodinger equations with quasiperiodic in time
potentials, with H.Eliasson (CMP
286 (2009), 125-135)
- KAM for
non-linear Schrodinger equation, with H.Eliasson (Annals of
Math. 172 (2010), 371-435)
-
On quantum averaging, quantum KAM, and quantum diffusion,
with A.Neishtadt (Russian Math. Surveys 68 (2013), 335-348)
-
KAM for the nonlinear beam equation,
with H.Eliasson, B.Grebert (GAFA 26
(2016), 1588-1715)