Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory, Part 3Valeriĭ Pavlovich Ilʹin Consultants Bureau, 1970 - Boundary value problems |
Contents
Nonlocal Estimates of First Derivatives of the Solutions of | 1 |
Some Remarks on The Convergence of Sequences of Functions of Polynomial Type | 26 |
InitialBoundary Problem for NavierStokes Equations in Domains with | 35 |
Copyright | |
3 other sections not shown
Other editions - View all
Common terms and phrases
boundary problems Boundary Value Problems C₁ C₁₂ C₂ Cauchy's inequality Chap characteristic function classes of nonuniformly coefficients of Eq conditions 1.1 constant convergence convex curve derivatives Dirichlet problem domain G dx dt E₁ elliptic equations equation 0.4 following inequality H²(E Hilbert space Hölder's inequality inequality 2.4 inequality 37 inner function known a priori Ladyzhenskaya and N. N. Lemma Let us assume linear Lq G M₁₂ member of inequality modulus of continuity monotonically N. M. Ivochkina N. N. Ural'tseva nonuniformly elliptic equations norm O. A. Ladyzhenskaya obtain the following orthonormal basis orthoprojector P₁ Problems of Mathematical proof of Theorem proved Q₁ Q₂ quantity quasi-linear equations Riesz basis right member satisfy conditions satisfy the condition solution u(x,t subspace term with coefficient Theorem Theorem 1.3 tions U₂ valid vector volume integrals W₁ W₂ λεσ