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

2022

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DOI 10.31489/2022m2/117-127
Data confidence 70 medium
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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.