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періодичних видань НАН України
періодичних видань НАН України
Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order
Репозиторій DSpace/Manakin
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Weak solutions to one initial-boundary value problem with three boundary conditions for quasilinear evolution equations of the third order
Інший ID:
2000 MSC. 35Q53, 35M20.
Посилання:
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.
Підтримка:
The work was supported by RFBR grant 06-01-00253
Дата:
2008
Переглядів:
737
Завантажень:
334
Анотація:
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 Korteweg–de Vries, the Korteweg–de Vries–Burgers and the Zakharov–Kuznetsov equations.
