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

• Published in: Український математичний вісник
• Date: 2008
• Main Authors: Faminskii, A.V., Bashlykova, I.Yu.
• Format: Article
• Language: Russian
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124298
• 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.

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...