О регулярной разрешимости краевой задачи для уравнения третьего порядка с меняющимся направлением эволюции в весовых пространствах Соболева

We examine a boundary value problem for a 3rd order equation with a changing direction of evolution. Under certain conditions, the existence of regular solutions in a suitable weighted Sobolev space is proven by regularization. The uniqueness of a generalized solution is also established as a consequence.