Тип публикации: статья из журнала
Год издания: 1993
Аннотация: Let D be a domain in an open set X⊂Rn and S an open piece of its boundary ∂D. The authors pose and study the following Cauchy problem: Pf=0 in D and Bjf|S=fj, j=0,⋯,p−1, where P is a k×l matrix of differential operators of the order p with real analytic coefficients and with injective principal symbol σ(P) (i.e. rank σ(P)=k, for alПоказать полностьюl (x,ξ)∈X×{Rn∖0}) and where Bj are differential operators of order bj≤p−1, bi≠bj, i≠j. The boundary values are regarded in some weak sense. The solvability criterion is formulated in terms of double-orthogonality bases. With the help of such bases the regularized representation of solutions is also given.
Журнал: Doklady Mathematics
Выпуск журнала: Т. 46, № 2
Номера страниц: 225-230
ISSN журнала: 10645624
Место издания: Moscow
Издатель: Pleiades Publishing, Ltd.