Displaying 21 – 40 of 76

Showing per page

Distributions bi-sousharmoniques sur 𝐑 n ( n 2 )

Allami Benyaiche (1994)

Mathematica Bohemica

L’object de ce travail est l’etude des fonctions fonctions localement sommable ω sur 𝐑 n , n 2 , vérifiant Δ 2 ω 0 (où Δ est Laplacien pris au sens des distributions) et que se comportent à l’infini comme des fonctions sousharmoniques. En parculier, nous caractérisons les fonctious qui sont à la fois bi-sousharmoniques et sousharmoniques.

Fonctions biharmoniques adjointes

Emmanuel P. Smyrnelis (2010)

Annales Polonici Mathematici

The study of the equation (L₂L₁)*h = 0 or of the equivalent system L*₂h₂ = -h₁, L*₁h₁ = 0, where L j ( j = 1 , 2 ) is a second order elliptic differential operator, leads us to the following general framework: Starting from a biharmonic space, for example the space of solutions (u₁,u₂) of the system L₁u₁ = -u₂, L₂u₂ = 0, L j ( j = 1 , 2 ) being elliptic or parabolic, and by means of its Green pairs, we construct the associated adjoint biharmonic space which is in duality with the initial one.

Harnack's properties of biharmonic functions

Emmanuel P. Smyrnelis (1992)

Commentationes Mathematicae Universitatis Carolinae

Study of the equicontinuity of biharmonic functions, of the Harnack's principle and inequalities, and of their relations.

Martin boundary associated with a system of PDE

Allami Benyaiche, Salma Ghiate (2006)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we study the Martin boundary associated with a harmonic structure given by a coupled partial differential equations system. We give an integral representation for non negative harmonic functions of this structure. In particular, we obtain such results for biharmonic functions (i.e. 2 ϕ = 0 ) and for non negative solutions of the equation 2 ϕ = ϕ .

Multivariate smooth interpolation that employs polyharmonic functions

Segeth, Karel (2019)

Programs and Algorithms of Numerical Mathematics

We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example...

On extensions of the Mittag-Leffler theorem

Ewa Ligocka (1998)

Annales Polonici Mathematici

The classical Mittag-Leffler theorem on meromorphic functions is extended to the case of functions and hyperfunctions belonging to the kernels of linear partial differential operators with constant coefficients.

Currently displaying 21 – 40 of 76