Problems for equations with special parabolic operator of fractional differentiation

We establish the well-posedness of the Cauchy problem and the two-point boundary-value problem for an equation with an operator of fractional differentiation that corresponds to the singular parabolic Beltrami – Laplace operator on a surface of the Dini class.

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Bibliographic Details
Date:2009
Main Authors: Matychuk, M. I., Матійчук, М. І.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2009
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3082
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal