Los, Valerii2021-11-142021-11-142020Los, V. A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical / Valerii Los // Methods of Functional Analysis and Topology. – 2020. – Vol. 26, No. 2. – Pp. 111–118.https://ela.kpi.ua/handle/123456789/45084We obtain a new sufficient condition under which generalized solutions to a parabolic initial-boundary-value problem for a Petrovskii system and the homogeneous Cauchy data are classical. The condition is formulated in terms of the belonging of the right-hand sides of the problem to some anisotropic Hörmander spaces.enparabolic problemHörmander spaceslowly varying functiongeneralized solutionclassical solutionArticlePp. 111-118https://doi.org/10.31392/MFAT-npu26_2.2020.03