Improved scales of spaces and elliptic boundary-value problems. II

DOI10.1007/S11253-006-0074-9zbMath1104.46021OpenAlexW2017417399MaRDI QIDQ5487607

Vladimir A. Mikhailets, Aleksandr A. Murach

Publication date: 19 September 2006

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

Full work available at URL: https://doi.org/10.1007/s11253-006-0074-9

zbMATH Keywords

elliptic boundary value probleminterpolation functorfunction spaces of Hörmander-Volevich-Paneyah type

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70)

Related Items (14)

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 ⋮ Mixed problems for the two-dimensional heat-conduction equation in anisotropic Hörmander spaces ⋮ Elliptic boundary-value problems in the sense of Lawruk on Sobolev and Hörmander spaces ⋮ 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 ⋮ Sufficient conditions for the solutions of general parabolic initial-boundary-value problems to be classical ⋮ Classical solutions of parabolic initial-boundary-value problems and Hörmander spaces ⋮ Systems parabolic in Petrovskii's sense in Hörmander spaces ⋮ Interpolation Hilbert spaces between Sobolev spaces ⋮ Regular elliptic boundary-value problems in the extended Sobolev scale ⋮ An isomorphism theorem for parabolic problems in Hörmander spaces and its applications

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