Moving Boundary Problems For
Parabolic Equations
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
Related Book
Other papers in this volume
Warning (2)
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Code
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