10 citations · 20 across the 7 of their papers we have counts for
8 papers
Global pseudo-differential operators on the Lie group
Duván Cardona, Roland Duduchava, Arne Hendrickx +1
In this work we characterise the Hörmander classes $\symbClassOn{m}ρδ{\group,\textnormal{Hör}}$ on the open manifold $\group = (-1,1)^n$. We show that by endowing the open manifold…
Convolution equations on the Lie group (-1,1)
Roland Duduchava
The interval turns into an Abelian group $\cA(\cJ)$ under the group operation $x+_\cJ y:=(x+y)(1+xy)^{-1},\qquad x,y\in\cJ$. This enables definition of the invariant mea…
Extension of the unit normal vector field from a hypersurface
R. Duduchava, E. Shargorodsky, G. Tephnadze
It is important in many applications to be able to extend the (outer) unit normal vector field from a hypersurface to its neighborhood in such a way that the result is a unit gradi…
Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain
Roland Duduchava, Medea Tsaava
The purpose of the present research is to investigate model mixed boundary value problems for the Helmholtz equation in a planar angular domain of magnitud…
Laplace-Beltrami equation on hypersurfaces and -convergence
Tengiz Buchukuri, Roland Duduchava, George Tephnadze
We investigate a mixed boundary value problem for the stationary heat transfer equation in a thin layer with a mid hypersurface in with the boundary. T…
Mixed boundary value problems for the Laplace-Beltrami equations
Roland Duduchava, Medea Tsaava
We investigate the mixed Dirichlet-Neumann boundary value problems for the Laplace-Beltrami equation on a smooth hypersurface with the smooth boundary in non-classica…