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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An initial boundary value problem for the Boussinesq equation in a Trapezoid/Jenaliyev M.T. [et al.] //Bulletin of the Karaganda University. Mathematics series. - 2022. - 2(106). - pp.117-127.