3 papers
math.DG2018
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…
math-ph2016
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…
math-ph2016
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…