Theorems on isomorphisms for some parabolic initial-boundary-value problems in Hörmander spaces: limiting case

DOI10.1007/s11253-016-1264-8zbMath1498.35325OpenAlexW2559489589MaRDI QIDQ1729492

Valerii Los

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1264-8

zbMATH Keywords

Hilbert Hörmander spacesparabolic equations of second order

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35)

Related Items (6)

Some problems for Petrovskii parabolic systems in generalized Sobolev spaces ⋮ Regular conditions for the solutions to some parabolic systems ⋮ 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 ⋮ Parabolic problems in generalized Sobolev spaces

Cites Work

• Mixed problems for the two-dimensional heat-conduction equation in anisotropic Hörmander spaces
• Anisotropic Hörmander spaces on the lateral surface of a cylinder
• The refined Sobolev scale, interpolation and elliptic problems
• Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke
• Interpolation Hilbert spaces between Sobolev spaces
• Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev
• Characterisations of function spaces of generalised smoothness
• Parabolic mixed problems in spaces of generalized smoothness
• Parabolic mixed problems for Petrovskii systems in spaces of generalized smoothness
• Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces
• Elliptic pseudodifferential operators in the improved scale of spaces on a closed manifold
• Elliptic boundary-value problem in a two-sided improved scale of spaces
• Interpolation with a function parameter and refined scale of spaces
• Parabolic problems and interpolation with a function parameter
• Improved scales of spaces and elliptic boundary-value problems. III
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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