# Items where Author is "Ilyin, A"

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**8**.

## Article

Ilyin, A, Patni, K and Zelik, S
(2016)
*Upper bounds for the attractor dimension of damped Navier-Stokes equations in R 2*
Discrete and Continuous Dynamical Systems - Series A, 36 (4).
pp. 2085-2102.

Chepyzhov, VV, Ilyin, AA and Zelik, SV
(2015)
*Strong trajectory and global W 1,p -attractors for the damped-driven Euler system in R 2.*
arXiv.

Ilyin, A, Laptev, A and Zelik, S
(2015)
*Sharp interpolation inequalities for discrete operators and applications*
BULLETIN OF MATHEMATICAL SCIENCES, 5 (1).
pp. 19-57.

Ilyin, A, Laptev, A and Zelik, S
(2015)
*Sharp interpolation inequalities for discrete operators and applications*
BULLETIN OF MATHEMATICAL SCIENCES, 5 (1).
pp. 19-57.

Zelik, SV, Ilyin, AA and Laptev, AA
(2015)
*Sharp interpolation inequalities for discrete operators*
DOKLADY MATHEMATICS, 91 (2).
pp. 215-219.

Ilyin, A, Laptev, A, Loss, M and Zelik, S
(2015)
*One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators*
International Mathematics Research Notices.

Zelik, SV and Ilyin, AA
(2014)
*Green's function asymptotics and sharp interpolation inequalities*
Russian Mathematical Surveys, 69 (2).
pp. 209-260.

Bartuccelli, M. V., Gourley, S. A. and Ilyin, A. A.
(2002)
*Positivity and the attractor dimension in a fourth-order reaction-diffusion equation*
458.
pp. 1431-1446.