On a Volterra Stieltjes integral equation.
On an equation with partial derivations in four-dimensional Euclidean space.
On boundary integral equations of the first kind for the bi-laplacian in a polygonal plane domain
On Green's Function and Eigenvalues of Nonuniformly Elliptic Boundary Value Problems.
On hyperbolic partial differential equations in Banach spaces
Viene dimostrata l'esistenza di soluzioni del problema di Darboux per l'equazione iperbolica sul planiquarto , . Qui, è una funzione continua, con valori in uno spazio Banach che soddisfano alcune condizioni di regolarità espresse in termini della misura di non-compattezza .
On M. Kac's probabilistic formula for the solution of the telegraphist's equation
On properties of nonlinear second-order systems under nonlinear impulse perturbations.
On quadrature methods for the double layer potential equation over the boundary of a polyhedron.
On representation of a solution to a modified Cauchy problem.
On solving a formal hyperbolic partial differential equation in the complex field.
On Some Boundary Element Methods for the Heat Equation.
On splitting up singularities of fundamental solutions to elliptic equations in ℂ2
It is known that the fundamental solution to an elliptic differential equation with analytic coefficients exists, is determined up to the kernel of the differential operator, and has singularities on characteristics of the equation in ℂ2. In this paper we construct a representation of fundamental solution as a sum of functions, each of those has singularity on a single characteristic.
On the Boundary Element Method for Some Nonlinear Boundary Value Problems.
On the Condition Number of Boundary Integral Operators for the Exterior Dirichlet Problem for the Helmholtz Equation.
On the connection between some Riemann-solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws
In this paper, we present some interesting connections between a number of Riemann-solver free approaches to the numerical solution of multi-dimensional systems of conservation laws. As a main part, we present a new and elementary derivation of Fey’s Method of Transport (MoT) (respectively the second author’s ICE version of the scheme) and the state decompositions which form the basis of it. The only tools that we use are quadrature rules applied to the moment integral used in the gas kinetic derivation...
On the connection between some Riemann-solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws
In this paper, we present some interesting connections between a number of Riemann-solver free approaches to the numerical solution of multi-dimensional systems of conservation laws. As a main part, we present a new and elementary derivation of Fey's Method of Transport (MoT) (respectively the second author's ICE version of the scheme) and the state decompositions which form the basis of it. The only tools that we use are quadrature rules applied to the moment integral used in the...
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...