Author(s)

E.A. Baderko

Abstract

Parabolic problems are considered in a noncylindrical domain with non- smooth with respect to time "lateral boundary". The latter consits of two nonintersecting parts: Dirichlet data are given on the first one and oblique derivation data are given on the second one. By using single-layer potentials, these problems are solved in anisotropic Holder spaces. 1 Introduction Let 0 < a < 1. Assuming that fi in an open set of the space R"+*(n > 1) of variables x € R" and t G R, we let C°'"(H) de- note the anisotropic Holder space consisting of those functions u that satisfy ||u;fif'«:= sup \u(x,t)\ + sup \u(x t) - u(y, s) (x,t)en <«.o.(v!.>e« \x - y« + * - a «/*

Keywords