Solvability of the nonlocal boundary-value problem for a system of differential-operator equations in the Sobolev scale of spaces and in a refined scale

DOI10.1007/s11253-015-1108-yzbMath1348.35302OpenAlexW2238119307MaRDI QIDQ325996

V. S. Il'kiv, Nataliya I. Strap

Publication date: 12 October 2016

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1108-y

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Applications of operator theory to differential and integral equations (47N20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (4)

Elliptic operators on refined Sobolev scales on vector bundles ⋮ Two-point nonlocal problem for a weak nonlinear differential operator equation ⋮ Solvability conditions for the nonlocal boundary-value problem for a differential-operator equation with weak nonlinearity in the refined Sobolev scale of spaces of functions of many real variables ⋮ Two-point boundary value problem for a partial differential equation in spaces of periodic functions

Cites Work

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• The refined Sobolev scale, interpolation and elliptic problems
• Extended Sobolev scale and elliptic operators
• Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev
• Problems for partial differential equations with nonlocal conditions. Metric approach to the problem of small denominators
• Improved scales of spaces and elliptic boundary-value problems. III
• Improved scales of spaces and elliptic boundary-value problems. II

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