An initial boundary value problem for the Boussinesq equation in a Trapezoid

An initial boundary value problem for the Boussinesq equation in a Trapezoid

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This paper considers an initial boundary value problem for a one-dimensional Boussinesq-type equation in a domain, that is, a trapezoid. Using the methods of the theory of monotone operators, we establish theorems on their unique weak solvability in Sobolev classes.

Bibliographic Details
Main Authors: M.T. Jenaliyev, A.S. Kassymbekova, M.G. Yergaliyev, A.A. Assetov
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2022-06-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Boussinesq-type equation
boundary value problem
trapezoid
theory of monotone operators
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/527

Internet

http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/527

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