Classical solution of parabolic mixed problem and $2b$-anisotropic Hörmander spaces

We obtained new sufficient conditions under which the generalized solution of the parabolic initial-boundary value problem with homogeneous initial Cauchy data will be classic. Conditions formulated in terms of inclusion right-hand sides of the problem in some $2b$-anisotropic Hormander spaces.

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Bibliographic Details
Date:2015
Main Authors: Los, V. M., Лось, В. М.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/199
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine