Fundamental solution of the Cauchy problem for the Shilov-type parabolic systems with coefficients of bounded smoothness

Under the condition of minimal smoothness of the coefficients, we construct the fundamental solution of the Cauchy problem and study the principal properties of this solution for a special class of linear parabolic systems with bounded variable coefficients covering the class of Shilov-type paraboli...

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Bibliographic Details
Date:2017
Main Authors: Litovchenko, V. A., Unguryan, G.M., Літовченко, В. А., Унгурян, Г. М.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1701
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal