On the Convergence of Multi-Grid Methods for a Hypersingular Integral Equation of the First Kind.
On the "Fundamental Principle" of L. Ehrenpreis
On the Gevrey analyticity of solutions of semilinear perturbations of powers of the Mizohata operator.
On the integral representation of superbiharmonic functions
We consider a nonnegative superbiharmonic function satisfying some growth condition near the boundary of the unit disk in the complex plane. We shall find an integral representation formula for in terms of the biharmonic Green function and a multiple of the Poisson kernel. This generalizes a Riesz-type formula already found by the author for superbihamonic functions satisfying the condition in the unit disk. As an application we shall see that the polynomials are dense in weighted Bergman...
On the integral representation of the solution to the Stokes system
On the Singularities of the Solution to the Cauchy Problem with Singular Data in the Complex Domain.
On the Theory of Exterior Elastic Herglotz Functions
Optimal Lipschitz estimates for the equation on a class of convex domains
Plane wave decompositions of monogenic functions
Pluriregular, plurigeneralized regular equations in Clifford analysis.
Polynomerzeugende bei einer Klasse von Differentialgleichungen mit zwei unabhängigen Variablen.
Positive Harmonic Functions on Nontangentially Accessible Domains.
Positive solutions of quasilinear elliptic systems with strong dependence on the gradient.
Problème de Cauchy ramifié à caractéristiques multiples de multiplicité variable
Problème de Cauchy ramifié: racine caractéristique triple en involution
Pseudo-Differential Operators in a Wave Diffraction Problem with Impedance Conditions
Mathematics Subject Classification: 35J05, 35J25, 35C15, 47H50, 47G30We consider an impedance boundary-value problem for the Helmholtz equation which models a wave diffraction problem with imperfect conductivity on a strip. Pseudo-differential operators are used to deal with this wave diffraction problem. Therefore, single and double layer potentials allow a reformulation of the problem into a system of integral equations. By using operator theoretical methods, the well-posedness of the problem...
Real and complex fundamental solutions. A way for unifying mathematical analysis.
Representation of equilibrium solutions to the table problem of growing sandpiles
In the dynamical theory of granular matter the so-called table problem consists in studying the evolution of a heap of matter poured continuously onto a bounded domain . The mathematical description of the table problem, at an equilibrium configuration, can be reduced to a boundary value problem for a system of partial differential equations. The analysis of such a system, also connected with other mathematical models such as the Monge–Kantorovich problem, is the object of this paper. Our main...
Representation of Green's function for the Dirichlet problem of polyharmonic equations in a ball.
Representation theorem for the solution of weakly hyperbolic equations with fast oscillating coefficients