CONTENTS -- Preface -- 1 Boundary value problems and initial value problems for partial differential equations -- Hyperbolic equations, waves and the singularity theory -- On the regularity of solutions of the first boundary problem for higher order hyperbolic differential equations -- Zeilon's operator and lacunae -- Representation of the Stokes potential in divergence form -- On spectra of the operator rotor -- Algebraic properties of potential differential and pseudodifferential operators -- The method of weighted function spaces for solving initial value and boundary value problems -- The optimization of fixed-point methods -- Principle of Telethoscope -- Isometric mappings and the problem of A. D. Aleksandrov for conservative distances -- Natural metrics of differential equations (abstract) -- Embedding theorems in anisotropic functional spaces (abstract) -- Distributional analysis of boundary value problems in half-spaces-exemplifled by Melan's problem of elastostatics (abstract) -- Bäcklund transformations and nonlinear evolution equations (ABSTRACT) -- Nonlinear perturbations of systems of partial differential equations (ABSTRACT) -- Partial differential equations and cubature formulas (ABSTRACT) -- 2 Applications of functional-analytic and complex methods to mathematical physics -- Conservation laws for differential equations -- Applied quatemionic analysis. Maxwell's system and Dirac's equation -- Integral transforms method in the conjugation problems of electromagnetic fields -- Remarks on fundamental matrices (Green's Tensors) in elastodynamics, piezoelectricity and crystal optics -- Dynamical problems in the (0,0) and (1,0) approximations of a mathematical model of cusped bars.

Vanishing viscosity limit of the incompressible Navier-Stokes equation (ABSTRACT) -- 3 Partial complex differential equations in the plane -- Boundary value problems for a class of nonregular elliptic equations -- On the solutions of the iterated Bers-Vekua equation -- The Bauer-Peschl equation - Derivation and solution of a partial differential equation by Laplace's method -- Komplexe Differenzengleichungen -- Stability of solutions of nonuniformly elliptic systems and boundary value problems -- An explicit solution to a class of second kind complex integral equation with singular and super-singular kernel -- An explicit solution to a class of second kind linear systems of complex integral equations with singular and super-singular kernels (abstract) -- Initial value problems for pseudoholomorphic functions (abstract) -- A boundary value problem for a special class of generalized analytic functions and its application to second order differential equations (abstract) -- Complex methods in operator theory (abstract) -- On one boundary value problem of the theory of analytic functions on a cut plane (abstract) -- 4 Complex methods in higher dimensions -- On a class of elliptic systems in the halfplane which are singular at the boundary -- Integral representations for inhomogeneous over-determined second order system of several complex equations -- Compactness of the canonical solution operator to ∂ restricted to Bergman spaces -- The theorem of the regular continuation for partial differential equations in general form and its applications -- Some higher order equations in Clifford analysis -- Generalizations of the complex analytic trigonometric functions to Clifford analysis by Eisenstein series -- Some implications of Clifford analysis (abstract).

Around zeroes of monogenic and hypermonogenic functions (abstract) -- Identity surfaces.