This book is the first introductory and self-contained presentation of a method for the
analysis of singularly perturbed boundary value problems that we have called the Functional …

We consider the effective conductivity λeff of a periodic two-phase composite obtained by
introducing into an infinite homogeneous matrix a periodic set of inclusions of a different …

We consider a nonlinear integral operator which involves a Nemytskij type operator and
which appears in the applications as a pull-back of layer potential operators. We prove an …

We study the effect of regular and singular domain perturbations on layer potential operators
for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic …

We study the behavior of the longitudinal flow along a periodic array of cylinders upon
perturbations of the shape of the cross section of the cylinders and the periodicity structure …

In this survey, we present some results on the behavior of effective properties in presence of
perturbations of the geometric and physical parameters. We first consider the case of a …

Let Ω be a sufficiently regular bounded connected open subset of such that 0∈ Ω and that is
connected. Then we take q11,…, qnn∈] 0,+∞[and. If ε is a small positive number, then we …

This paper is divided into three parts. The first part focuses on periodic layer heat potentials,
demonstrating their smooth dependence on regular perturbations of the support of …

We introduce space‐periodic layer heat potentials and we prove some regularizing
properties in parabolic Schauder spaces defined on the boundary of infinite parabolic …

In this paper we study the existence of solutions in parabolic Schauder space of a nonlinear
mixed boundary value problem for the heat equation in a perforated domain. From a given …