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
Representation theorems and Fatou theorems for parabolic systems in the sense of Petrovskiĭ
Resolvent kernel for the Kohn Laplacian on Heisenberg groups.