Classical solutions of parabolic initial-boundary-value problems and Hörmander spaces

DOI10.1007/s11253-017-1303-0zbMath1499.35321OpenAlexW2598913520MaRDI QIDQ1729554

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/s11253-017-1303-0

zbMATH Keywords

generalized solutionscontinuitycomplex-valued coefficientssecond-order linear parabolic differential equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for higher-order parabolic equations (35K35) Generalized solutions to partial differential equations (35D99)

Related Items (5)

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 ⋮ Systems parabolic in Petrovskii's sense in Hörmander spaces ⋮ Parabolic problems in generalized Sobolev spaces

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