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math.FA2018
Hörmander spaces on manifolds, and their application to elliptic boundary-value problems
T. M. Kasirenko, A. A. Murach, I. S. Chepurukhina
We introduce an extended Sobolev scale on a smooth compact manifold with boundary. The scale is formed by inner-product Hörmander spaces for which an RO-varying radial function ser…
math.AP2018
Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale
Tetiana Kasirenko, Iryna Chepurukhina
In a refined Sobolev scale, we investigate an elliptic boundary-value problem with additional unknown functions in boundary conditions for which the maximum of orders of boundary o…