D. Nonlinear PDE
-
Diffeomorphisms of functional spaces
that correspond to
quasilinear parabolic equations
(Math. USSR Sbornik 45 (1983), 359-378)
- Finite-gap
periodic solutions of the KdV equation are non-degenerate, with
A.Bobenko (Phys. Lett. A 161 (1991), 274-276)
- Infinite-dimensional
symplectic capacities and a squeezing theorem for Hamiltonian PDEs (CMP
167 (1995), 531-552)
-
On turbulence in nonlinear
Schrodinger equation (GAFA 7 (1997), 783-822)
- Spectral
properties of solutions for nonlinear PDEs in the turbulent
regime
(GAFA 9 (1999), 141-184)
- Hamiltonian
PDEs (in "Handbook on Dynamical Systems v. 1B (2006),
1087-1134)
-
2D Euler equation as a Hamiltonian PDE
(Manuscript, 2008)
- Vey theorem
in infinite dimensions and its application to KdV, with G. Perelman
(DCDS-A
27 (2010), 1-24)
-
KdV equation under periodic boundary conditions
and its perturbations,
with H. Guan
(Nonlinearity 27 (2014), 1-28
)
-
Analyticity of solutions for quasilinear wave equations and
other quasilinear systems,
with N. Nadirashvili
(Proc. A Royal Soc. Edinburgh 144 (2014), 1155-1169
)
-
KAM theory and the 3D Euler equation,
with B. Khesin and D. Peralta-Salas
(Advances of Mathematics
267 (2014), 498-522.
)
-
KdV hamiltonian as a function of actions, with E. Korotyaev
(J. Dyn. Control Syst. 128:3
(2015))
-
Time-averaging for weakly nonlinear CGL equations with arbitrary
potential,
with G. Huang and A. Maiocchi
(Fields Institute Communications 75
(2015))