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Global Solvability of the First Boundary Value Problem for a Quasilinear Parabolic Equation
Nonlocal Estimates of First Derivatives of Solutions to Dirichlets Problem
One Class of Functions of Many Real Variables
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Akad analogous arbitrary assertion assume boundary problem Boundary Value Problems Cauchy problem Chapter characteristic function classes of functions coefficients consider constant continuously differentiable function countable set cylinder denote depending derivatives of solutions Dirichlet problem Dokl Equa Equations 100 exists finite following equation Formula Hilbert space Holder inequality identity Inequality 2.3 inequality cf inequality is valid Inst interval Ladyzhenskaya and N. N. Lemma Linear and Quasilinear maximum moduli measurable space modulus modulus of continuity monotonically increasing N. N. Ural'tseva Nauk SSSR Navier-Stokes equations nonnegative nonuniformly elliptic equations norm notation O. A. Ladyzhenskaya obtain the following paper parabolic equations polynomial priori estimates Problem 18 proof of Theorem properties proven Quasilinear Elliptic quasilinear equations region Q result right side Russian satisfies Condition satisfying the conditions second-order solvability space spectral measure Steklov Mathematical Institute strictly convex surface tion transformer variables vector Volterra operators