An initial boundary value problem for the Boussinesq equation in a Trapezoid
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Karagandy University of the name of acad. E.A. Buketov
Abstract
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.
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Citation
An initial boundary value problem for the Boussinesq equation in a Trapezoid/M.T. Jenaliyev[et al.]//Bulletin of the Karaganda University. «Mathematics» series.-2022.-№2(106).-p.117-127