A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical

dc.contributor.author	Los, Valerii
dc.date.accessioned	2021-11-14T17:13:17Z
dc.date.available	2021-11-14T17:13:17Z
dc.date.issued	2020
dc.description.abstract	We 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.	en
dc.format.pagerange	Pp. 111-118	en
dc.identifier.citation	Los, 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.	en
dc.identifier.doi	https://doi.org/10.31392/MFAT-npu26_2.2020.03
dc.identifier.uri	https://ela.kpi.ua/handle/123456789/45084
dc.language.iso	en	en
dc.publisher	Institute of Mathematics NAS of Ukraine	en
dc.publisher.place	Kyiv	en
dc.relation.ispartof	Methods of Functional Analysis and Topology	en
dc.source	Methods of Functional Analysis and Topology, 2020, Vol. 26, no. 2	en
dc.subject	parabolic problem	en
dc.subject	Hörmander space	en
dc.subject	slowly varying function	en
dc.subject	generalized solution	en
dc.subject	classical solution	en
dc.title	A condition for generalized solutions of a parabolic problem for a Petrovskii system to be classical	en
dc.type	Article	en

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