Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory, Part 2Consultants Bureau., 1969 - Boundary value problems |
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 integral identity K. K. Golovkin K₂ kernel left-hand side Lemma matrix max lul multi-index N₂ Nauk SSSR Navier-Stokes equations norm numbers O. A. Ladyzhenskaya obtain proof Q₁ quasilinear relation right-hand side satisfies condition satisfying the condition smoothness solution of problem solution u(x space Steklov Mathematical Institute subdomain sufficiently large Theorem Trudy Mat V. A. Solonnikov V₁ valid variables vector verified Y₁ Пер