7 citations · 8 across the 3 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2009
Elliptic problems and Hörmander spaces
Vladimir A. Mikhailets, Aleksandr A. Murach
The paper gives a survey of the modern results on elliptic problems on the Hörmander function spaces. More precisely, elliptic problems are studied on a Hilbert scale of the isotro…
math.AP2009★ 7 cited
Extension of some Lions-Magenes theorems
Aleksandr A. Murach
A general form of the Lions-Magenes theorems on solvability of an elliptic boundary-value problem in the spaces of nonregular distributions is proved. We find a general condition o…
math.AP2007★ 1 cited
Regular elliptic boundary-value problem in a two-sided refined scale of spaces
Vladimir A. Mikhailets, Aleksandr A. Murach
A regular elliptic boundary-value problem over a bounded domain with a smooth boundary is studied. We prove that the operator of this problem is a Fredholm one in the two-sided ref…