One class of semilinear Sobolev type equations and phase spaces

The solvability of the Cauchy problem u(0) = u₀ of an semilinear differential operator equation Lû = Mu + N(u) is under consideration. The abstract results are illustrated by the Cauchy - Dirichlet problem for the Hoff equation and for the Oskolkov equations.

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Bibliographic Details
Date:2004
Main Author: Sviridyuk, G.A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Series:Нелинейные граничные задачи
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/169182
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:One class of semilinear Sobolev type equations and phase spaces / G.A. Sviridyuk // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 126-137. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine