On sufficient conditions for generalized solutions of some mixed parabolic problems to be classical

Considering the mixed problem for the second order linear parabolic equation with the Dirichlet boundary condition, we obtain new sufficient conditions under which the generalized solution to the problem is classical. These conditions are formulated in terms of the belonging of the right-hand sides...

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Bibliographic Details
Date:2016
Main Authors: Los, V. M., Лось, В. М.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2016
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/215
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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