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In the paper the second boundary value problem for the third order composite type equations is investigated. We established Saint-Venants type energy estimates for weak solutions of the problem on Sobolev classes. The obtained estimates are used to prove uniqueness theorems in the classes of functions growing at innity. These uniqueness classes depend on the geometrical characteristics of the domain. Moreover, energy estimates allowing us to investigate behavior of solution in the neighborhood of singular points were obtained.

vestnik samarskogo gosudarstvennogo tehničeskogo universiteta. seriâ: fiziko-matematičeskie nauki/vestnik samarskogo gosudarstvennogo tehničeskogo universiteta. seriâ fiziko-matematičeskie nauki

О единственности решений второй краевой задачи для уравнения третьего порядка составного типа в неограниченных областях