Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory, Part 2Valeriĭ Pavlovich Ilʹin Consultants Bureau, 1970 - Analytic functions |
Contents
Estimates of Convolution Operators | 1 |
Local Maximal Estimates of the Modulus of the First Derivatives of the Solutions | 37 |
Modifications of the NavierStokes Equations for Large Velocity Gradients | 57 |
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Akad analogous arbitrary assume ball boundary boundary-value problem bounded bounded function Cauchy inequality Cauchy problem Chapt coefficients components condition 0.2 constant convergence convolution operator cutoff function deduce denote depends derivatives Dirichlet problem domain dr dz dx dt elliptic equations equal to zero estimate of max estimated in terms finite following inequality holds Fourier Fourier series function u(x h)ull Hölder Holder inequality Inst K. K. Golovkin K₂ kernel left-hand side Lemma linear set Mathematical matrix multi-index N₂ Nauk SSSR Navier-Stokes equations norm 14 numbers O. A. Ladyzhenskaya obtain proof quantities quasilinear relation right-hand side satisfies condition satisfying the condition solution of problem solution u(x space Steklov Mathematical Institute subdomain sufficiently large Theorem Trudy Mat V. A. Solonnikov valid variables vector verified ÿ h Y₁ Пед Пед Пер