The articles in this collection present new results in partial differential equations, numerical analysis, probability theory, and geometry. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.
Distribution of the supremum for linear combinations of local times of random processes by A. N. Borodin Sharp Jackson type inequalities for differentiable functions and minimization of the step of the moduli of continuity by O. L. Vinogradov and V. V. Zhuk Biorthogonal system of minimal splines on a nonuniform grid by Yu. K. Dem'yanovich S. N. Bernstein and direct and converse theorems of contructive function theory by V. V. Zhuk and G. I. Natanson On S. N. Bernstein's work in probability by I. A. Ibragimov Some trends in the development of the theory of fully nonlinear second order evolution equations by N. M. Ivochkina Coefficients in asymptotics of solutions to pseudodifferential equations on manifolds with conical points by R. Lauter, B. A. Plamenevskii, and O. V. Sarafanov The Brockett problem in the theory of nonstationary stabilization of linear differential equations by G. A. Leonov Discrete nonperiodic splines on a uniform grid by V. N. Malozemov and A. N. Sergeev Some extremal problems for Gaussian and empirical random fields by A. I. Nazarov and Ya. Yu. Nikitin Two theorems about convex polyhedra by F. V. Petrov and S. E. Rukshin.