Extended Sobolev scale and elliptic operators

DOI10.1007/S11253-013-0787-5zbMath1294.46036OpenAlexW2073452235MaRDI QIDQ2440052

Aleksandr A. Murach, Vladimir A. Mikhailets

Publication date: 27 March 2014

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

Full work available at URL: https://doi.org/10.1007/s11253-013-0787-5

zbMATH Keywords

Sobolev spacepseudoconvex functioninterpolation spacepseudodifferential operatorHörmander spaceisotropic space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70) Pseudodifferential operators (47G30)

Related Items (12)

Elliptic operators on refined Sobolev scales on vector bundles ⋮ 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 ⋮ Solvability of a nonlocal boundary-value problem for the operator-differential equation with weak nonlinearity in a refined scale of Sobolev 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 ⋮ Nonlocal boundary-value problem for an equation with differentiation operator \(z \partial/\partial z\) in a refined Sobolev scale ⋮ 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 ⋮ Petrovskii elliptic systems in the extended Sobolev scale ⋮ Regular elliptic boundary-value problems in the extended Sobolev scale ⋮ An isomorphism theorem for parabolic problems in Hörmander spaces and its applications ⋮ Parabolic problems in generalized Sobolev spaces

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