Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory, Volume 5, Part 1Valeriĭ Pavlovich Ilʹin Consultants Bureau, 1969 - Boundary value problems |
Contents
Global Solvability of the First Boundary Value Problem for a Quasilinear Parabolic Equation | 1 |
Nonlocal Estimates of First Derivatives of Solutions to Dirichlets Problem | 12 |
One Class of Functions of Many Real Variables | 35 |
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A₁ Akad analogous assertion assume boundary problem Boundary Value Problems C₁ C₁₂ C₂ Cauchy inequality Chapter class G coefficients constant continuously differentiable cylinder Q D₂ defined depending derivatives of solutions Dirichlet problem Dokl elliptic equations estimate of max finite following inequality Formula function f(x G₁ Hölder continuity Hölder inequality inequality 25 inequality is valid Ladyzhenskaya and N. N. Lemma M₂ Mathematical max lul maximum modulus N. N. Ural'tseva Nauk SSSR Navier-Stokes equations nonnegative nonuniformly elliptic equations norm O. A. Ladyzhenskaya obtain the following P₂ parabolic equations polynomial priori estimates proof of Theorem proven Q₁ quasilinear quasilinear equations region G right side satisfies Condition satisfying the conditions second-order Solomyak space spectral measure T₂ term theory tion transformer u₂ variables vector Volterra operators w₂ ΕΠ Ак