One class of semilinear Sobolev type equations and phase spaces

• Published in: Нелинейные граничные задачи
• Date: 2004
• Main Author: Sviridyuk, G.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169182
• 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.

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.