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A priori estimates of solutions of linear parabolic problems with coefficients from Sobolev spaces

We consider the general initial-boundary-value problem for a linear parabolic equation of arbitrary even order in anisotropic Sobolev spaces. We prove the existence and uniqueness of a solution and establish ana priori estimate for it.

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Bibliographic Details
Date:	1999
Main Authors:	Romanenko, I. B., Skrypnik, I. V., Романенко, І. Б., Скрипник, І. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4755
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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