On representation of a solution to a modified Cauchy problem.
On representations of Lie algebras of a generalized Tavis-Cummings model.
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 resonant scattering for time-periodic perturbations
On Riesz means of eigenfunction expansions for the Kohn-Laplacian.
On Rotaionally invariant vector fields in the plane.
On Schrödinger maps from to
We prove an estimate for the difference of two solutions of the Schrödinger map equation for maps from to This estimate yields some continuity properties of the flow map for the topology of , provided one takes its quotient by the continuous group action of given by translations. We also prove that without taking this quotient, for any the flow map at time is discontinuous as a map from , equipped with the weak topology of to the space of distributions The argument relies in an essential...
On second order discontinuous differential equations in Banach spaces.
On second order Hamiltonian systems
The aim of the paper is to announce some recent results concerning Hamiltonian theory. The case of second order Euler–Lagrange form non-affine in the second derivatives is studied. Its related second order Hamiltonian systems and geometrical correspondence between solutions of Hamilton and Euler–Lagrange equations are found.
On second order hyperbolic equation with two independent variables
On second order nonlinear equations with rectilinear characteristics.
On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.
On second-grade fluids with vanishing viscosity.
On Selberg's Eigenvalue Conjecture.
On self-similarity and stationary problem for fragmentation and coagulation models
On semilinear elliptic eigenvalue problem with eigenparameter in the boundary conditions.
On set-valued non-Boolean functions.
On shape and multiplicity of solutions for a singularly perturbed Neumann problem
We investigate the effect of the topology of the boundary ∂Ω and of the graph topology of the coefficient Q on the number of solutions of the nonlinear Neumann problem .
On shape optimization problems involving the fractional laplacian
Our concern is the computation of optimal shapes in problems involving (−Δ)1/2. We focus on the energy J(Ω) associated to the solution uΩ of the basic Dirichlet problem ( − Δ)1/2uΩ = 1 in Ω, u = 0 in Ωc. We show that regular minimizers Ω of this energy under a volume constraint are disks. Our proof goes through the explicit computation of the shape derivative (that seems to be completely new in the fractional context), and a refined adaptation of the moving plane method.
On shooting methods for the discrete Helmholtz equation with constant coefficients.