Initial-boundary value problem for higher-order integro-differential elliptic-parabolic equations with variable exponents of nonlinearity

The initial-boundary value problem for higher-order elliptic-parabolic equations with variable exponents of nonlinearity is considered. Existence and uniqueness of weak solution of this problem are proved. An a priori estimates are obtained.

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Bibliographic Details
Date:2017
Main Authors: Bokalo, M. M., Skira, I. V., Бокало, М. М., Скіра, І. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/267
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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