A nonsteady Venttsel'problem in a fractal domain Ω or in the corresponding prefractal
domain Ω h is studied. Existence, uniqueness, and regularity results for the strict solution, in …

We study a nonsteady transmission problem across either a fractal layer S or the
corresponding prefractal layer S_h. The transmission condition is of order two. Existence …

We prove a priori error estimates for a parabolic second order transmission problem across
a prefractal interface Kn of Koch type which divides a given domain Ω into two non-convex …

We describe a homogenization model of an elastic membrane reinforced by the inclusion of
a fractal string. We follow a variational approach consisting in proving the convergence of …

A parabolic transmission problem with Ventcel'-type boundary conditions on a prefractal
mixture Koch-type interface is studied. Regularity results for the solution are proved. The …

In this paper we propose a mesh algorithm to generate a regular and conformal family of
nested triangulations for a planar domain divided into two non-convex polygonal …

The aim of this paper is to optimize the shape of a highly conductive interface in order to
drain the maximum amount of heat. Given the ubiquity of irregular interfaces in heat …

We consider mixed Dirichlet-Robin problems on scale irregular domains. In particular, we
study the asymptotic convergence of the solutions of elliptic problems with Robin boundary …

INSULATING LAYERS OF FRACTAL TYPE Introduction Recently there has been an increasing
interest towards the approach of ho- mogeni Page 1 Differential and Integral Equations Volume …

We prove existence and uniqueness of the weak solution for a second order semilinear
transmission problem in a bounded domain in R3 in the case of a Koch-type fractal layer S …