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Nonlocal Estimates of First Derivatives of the Solutions of
InitialBoundary Problem for NavierStokes Equations in Domains with
On Some Classes of Nonuniformly Elliptic Equations u Q n n u Q 1 u
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A. P. Oskolkov arbitrary function Aspects of Function boundary problems Boundary Value Problems Cauchy inequality Chap characteristic function classes of nonuniformly coefficients of Eq condition 1.5 constant convergence convex coordinates curve depend Dirichlet problem domain G equation 0.4 equivalent following conditions following inequality Fourier transform Function Theory Hilbert space inequality 1.14 inequality 2.4 inequality 37 initial-boundary problem inner function known a priori Ladyzhenskaya and N. N. Lemma Let us assume linear Matem member of inequality modulus of continuity monotonically N. N. Ural'tseva nonuniformly elliptic equations norm O. A. Ladyzhenskaya obtain the following orthonormal basis orthoprojector polar coordinate system priori estimates problem for nonuniformly Problems of Mathematical proof of Theorem quantity Riesz Riesz basis right member satisfy conditions satisfy the condition sequence smooth Steklov Mathematical Institute subspace surface integrals system of characteristic term with coefficient Theorem 1.3 tions valid vector volume integrals