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 Maximal Functions and Parabolic Limits.
On perturbative cubic nonlinear Schrödinger equations under complex nonhomogeneities and complex initial conditions.
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 representations of real analytic functions by monogenic functions
Using the method of normalized systems of functions, we study one representation of real analytic functions by monogenic functions (i.e., solutions of Dirac equations), which is an Almansi’s formula of infinite order. As applications of the representation, we construct solutions of the inhomogeneous Dirac and poly-Dirac equations in Clifford analysis.
On second order nonlinear equations with rectilinear characteristics.
On similarity solution of a boundary layer problem for power-law fluids
The boundary layer equations for the non-Newtonian power law fluid are examined under the classical conditions of uniform flow past a semi infinite flat plate. We investigate the behavior of the similarity solution and employing the Crocco-like transformation we establish the power series representation of the solution near the plate.
On solving a formal hyperbolic partial differential equation in the complex field.
On Some Boundary Element Methods for the Heat Equation.
On some classes of linear equations. IV.
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 step-like contrast structure of singularly perturbed systems.
On symmetries and invariant solutions of a coupled KdV system with variable coefficients.
On the analytical and numerical treatment of a class of PDE's with the application to some two-valley semiconductor.
On the approximation of real continuous functions by series of solutions of a single system of partial differential equations
We prove the existence of an effectively computable integer polynomial P(x,t₀,...,t₅) having the following property. Every continuous function can be approximated with arbitrary accuracy by an infinite sum of analytic functions , each solving the same system of universal partial differential equations, namely (σ = 1,..., s).
On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points
In this paper, for the second initial boundary value problem for Schrödinger systems, we obtain a performance of generalized solutions in a neighborhood of conical points on the boundary of the base of infinite cylinders. The main result are asymptotic formulas for generalized solutions in case the associated spectrum problem has more than one eigenvalue in the strip considered.