Initial-boundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity

Existence and uniqueness of weak solutions of initialboundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity are proved. Estimates of the weak solutions of this problems are received. This estimates implies continuous dependence on...

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Bibliographic Details
Date:2014
Main Authors: Bokalo, M., Domanska, H.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2014
Series:Український математичний вісник
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/124463
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Initial-boundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity / M. Bokalo, H. Domanska // Український математичний вісник. — 2014. — Т. 11, № 3. — С. 291-311. — Бібліогр.: 27 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:Existence and uniqueness of weak solutions of initialboundary value problems for anisotropic elliptic-parabolic-pseudoparabolic equations with variable exponents of nonlinearity are proved. Estimates of the weak solutions of this problems are received. This estimates implies continuous dependence on the input data for the weak solutions of considered problems