Phase spaces for a class of Sobolev type equations

• Published in: Український математичний вісник
• 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/123456789/124619
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Phase spaces for a class of Sobolev type equations / G.A. Sviridyuk // Український математичний вісник. — 2004. — Т. 1, № 2. — С. 259-272. — Бібліогр.: 14 назв. — англ.

The solvability of the Cauchy problem u(0) = u₀ of an semilinear differential operator equation Lǔ = Mu+N(u) is under consideration. The abstract results are illustrated by the Cauchy–Dirichlet problem for degenerate reaction-diffusion equations and for Navier–Stokes equations, and by the Cauchy–Ber...