Mixed problems for the two-dimensional heat-conduction equation in anisotropic Hörmander spaces

DOI10.1007/S11253-015-1111-3zbMath1368.46033OpenAlexW2255008383MaRDI QIDQ326003

Valerii Los

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/s11253-015-1111-3

zbMATH Keywords

well-posednesssolvabilityDirichlet boundary conditionsNeumann boundary conditionstwo-dimensional heat equationanisotropic Hörmander spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Heat equation (35K05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Elliptic operators on refined Sobolev scales on vector bundles ⋮ Sufficient conditions for the solutions of general parabolic initial-boundary-value problems to be classical ⋮ Theorems on isomorphisms for some parabolic initial-boundary-value problems in Hörmander spaces: limiting case ⋮ Classical solutions of parabolic initial-boundary-value problems and Hörmander spaces ⋮ Systems parabolic in Petrovskii's sense in Hörmander spaces ⋮ Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces ⋮ An isomorphism theorem for parabolic problems in Hörmander spaces and its applications

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