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20142024
most citedElliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale

7 citations · 13 across the 10 of their papers we have counts for

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math.FA2024

Distribution spaces associated with elliptic operators

Iryna Chepurukhina, Aleksandr Murach

We study complex distribution spaces given over a bounded Lipschitz domain and associated with an elliptic differential operator with -coefficients on $\overlin…

math.FA2018★ 3 cited

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…