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 a family of boundary integral operators supported on a collection of
parametrically defined bounded Lipschitz boundaries. Consequently, the boundary integral …

We prove the validity of regularizing properties of the boundary integral operator
corresponding to the double layer potential associated to the fundamental solution of a …

This paper introduces the quaternion Schwarz type space, and quaternion linear canonical
transform (QLCT) mapping properties are also discussed. Further, the quaternion pseudo …

This paper considers the theory of higher-order divergence-form elliptic differential
equations. In particular, we provide new generalizations of several well-known tools from the …

We consider the elastic scattering problem by multiple disjoint arcs or\emph {cracks} in two
spatial dimensions. A key aspect of our approach lies in the parametric description of each …

We prove the validity of regularizing properties of a double layer potential associated to the
fundamental solution of a {\em nonhomogeneous} second order elliptic differential operator …

In this paper, we consider an elliptic operator with constant coefficients and we estimate the
maximal function of the tangential gradient of the kernel of the double layer potential with …

We present a nonvariational setting for the Neumann problem for harmonic functions that
are H\"{o} lder continuous and that may have infinite Dirichlet integral. Then we introduce a …

Recent years have brought significant advances in the theory of higher-order elliptic
equations in non-smooth domains. Sharp pointwise estimates on derivatives of …