О задаче Коши для комплекса Дольбо в пространствах Соболева
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https://elib.sfu-kras.ru/handle/2311/1511Author:
Федченко, Дмитрий П.
Fedchenko, Dmitry P.
Date:
2009-11Abstract:
Пусть D ограниченная область в Cn (n > 1), имеющая дважды гладкую границу @D. В работе
описаны необходимые и достаточные условия разрешимости задачи Коши для комплекса Доль-
бо в пространстве дифференциальных форм бистепени (0, q), 0 < q < n с коэффициентами из
пространства Соболева H1(D) в области D. Let D be a bounded domain in Cn (n > 1) with a twice smooth boundary @D. We describe necessary and
sufficient Cauchy problems solvability conditions for the Dolbeault complex in the space of differential
forms of bidegree (0, q), 0 < q < n with coefficients from the Sobolev space H1(D) in the domain D.
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