Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order

Global well-posedness in a class of weak solutions is established to one initial-boundary value problem with three boundary conditions for a wide class of quasilinear dispersive evolution equations of the third order in the multidimensional case. The considered class of equations generalizes the Kor...

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Bibliographic Details
Date:2008
Main Authors: Faminskii, A.V., Bashlykova, I.Yu.
Format: Article
Language:Russian
Published: Інститут прикладної математики і механіки НАН України 2008
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124298
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order / A.V. Faminskii, I.Yu. Bashlykova // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 83-98. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine