## Proceedings of the Steklov Institute of Mathematics, Issue 188 |

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### Contents

V Optimal recovery of operators and related problems | 1 |

H B Jl e h h c o b a AnpnopHbie oiieHKH peiueHHH jumeftHoA HecTauHOHapHofi 3aaaqK | 3 |

H npaojiflHceaae 4yBKnaH cyMMaMB Dypbe no CBcreMaii xapaKTO | 21 |

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### Common terms and phrases

arbitrary assertion assume asymptotic attractor boundary conditions boundary value problem coefficients compact consider constant convergence convex Corollary corresponding cylinder QT defined denote depend derivatives differential eigenvalue English transl equality equations of motion exists finite fluids of order follows formula function Hausdorff dimension hence Hilbert space Holder holds initial-boundary value problem Inst integral Kelvin-Voigt fluids Ladyzhenskaya Lemma lemma is proved Leningrad linear LOMI Mathematics Mathematics Subject Classification multiplication Nauchn Navier-Stokes equations neighborhood norm notation obtain the estimate Oldroyd fluids orthogonal Otdel perturbation polynomial problem 1.1 proof of Theorem quasilinear quasinorm relation respect right-hand side Russian satisfies the inequality scattering matrix selfadjoint semigroup solution of problem solvability Soviet Math Steklov sufficiently large Suppose t e R+ Theorem Theorem 2.1 theory trigonometric polynomial unique unitary unitary operator vector viscoelastic zero