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Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions

We consider an initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions. We prove comparison principle, establish the existence of a local solution, and study the problem of uniqueness and nonuniqueness.

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Bibliographic Details
Date:	2016
Main Authors:	Gladkov, A. L., Kavitova, T. V., Гладков, А. Л., Кавитова, T. В.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2016
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1831
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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