Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces

DOI10.1007/s11253-006-0166-6zbMath1150.35027OpenAlexW2063927128MaRDI QIDQ3441298

Aleksandr A. Murach, Vladimir A. Mikhailets

Publication date: 29 May 2007

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

Full work available at URL: https://doi.org/10.1007/s11253-006-0166-6

zbMATH Keywords

Fredholm operatorelliptic boundary value problemHörmander-Volevich-Paneah spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

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Elliptic operators on refined Sobolev scales on vector bundles ⋮ Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces ⋮ Anisotropic Hörmander spaces on the lateral surface of a cylinder ⋮ Douglis-Nirenberg elliptic systems in Hörmander spaces ⋮ Elliptic problems with rough boundary data in generalized Sobolev spaces ⋮ Irregular elliptic boundary-value problems and Hörmander spaces ⋮ Elliptic problems with boundary conditions of higher orders in Hörmander spaces ⋮ Extended Sobolev scale and elliptic operators ⋮ Petrovskii elliptic systems in the extended Sobolev scale ⋮ Theorems on isomorphisms for some parabolic initial-boundary-value problems in Hörmander spaces: limiting case ⋮ Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces ⋮ Regular elliptic boundary-value problems in the extended Sobolev scale ⋮ An isomorphism theorem for parabolic problems in Hörmander spaces and its applications ⋮ Sobolev-like Hilbert spaces induced by elliptic operators

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