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On the Existence of Mild Solutions of the Initial-Boundary-Value Problems for the Petrovskii-Type Semilinear Parabolic Systems with Variable Exponents of Nonlinearity

We study the initial-boundary-value problem with general homogeneous boundary conditions for the Petrovskii-type semilinear parabolic systems with variable exponents of nonlinearity in a cylindrical domain. The existence of mild solutions of this problem is proved.

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Bibliographic Details
Date:	2014
Main Authors:	Buhrii, O. M., Бугрій, О. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2014
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2146
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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