Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory, 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 |
Copyright | |
5 other sections not shown
Common terms and phrases
A₁ Akad analogous assertion assume boundary problem Boundary Value Problems C₁ C₁₂ C₂ Cauchy inequality Chapter coefficients constant continuously differentiable cylinder Q D₂ defined depending derivatives of solutions Dirichlet problem Dokl dxdt elliptic equations estimate of max finite following inequality Formula function f(x H₂ Hölder continuity Hölder inequality inequality 25 inequality is valid L₂ Q Ladyzhenskaya and N. N. Lemma Let u(x 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 parabolic equations polynomial priori estimates proof of Theorem proven 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