M. Jenaliyev, A. Kassymbekova, M. Yergaliyev, A. A. Assetov
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An initial boundary value problem for the Boussinesq equation in a Trapezoid
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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