http://dspace.nbuv.gov.ua:80/handle/123456789/151448 2026-04-08T08:18:06Z http://dspace.nbuv.gov.ua:80/handle/123456789/156755 О существовании начальных значений решений слабо нелинейных параболических уравнений Скрыпник, И.В. We study the properties of solutions of weakly nonlinear parabolic equations in cylindrical domains. The existence conditions are established for local nontangential limits as t ? 0. 1993-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/156754 Частичная регулярность следов решений нелинейных эллиптических систем высокого порядка Калита, Е.А. For traces of generalized solutions of elliptic systems on smooth manifolds, we study the dependence of the Hausdorff dimension of the set of points at which a solution is not smooth on the modulus of ellipticity of a system. 1993-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/156434 Асимптотическое разложение решений квазилинейных параболических задач в перфорированных областях Скрыпник, И.В. The asymptotic expansion of solutions to quasilinear parabolic problems with the Dirichlet boundary condilions is constructed in the regions with a fine-grain boundary. It is shown that the sequence of the remainders of the expansion strongly converges to zero in the space W1,1/22. 1993-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/156433 G-сходимость параболических операторов и слабая сходимость решений диффузионных уравнений Махно, С.Я. The upper estimates and, in some special cases, the lower estimates of the rate of rational approximation of piecewise-analytic functions defined on touching continuums are established. The upper and the lower estimates are consistent and depend on the mutual location of these continuums. 1993-01-01T00:00:00Z