Bases with double orthogonality in the Cauchy problem for systems with an injective symbol : научное издание

Описание

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.

Ссылки на полный текст

Издание

Журнал: Doklady Mathematics

Выпуск журнала: Т. 46, 2

Номера страниц: 225-230

ISSN журнала: 10645624

Место издания: Moscow

Издатель: Pleiades Publishing, Ltd.

Персоны

  • Tarkhanov N. N. (Krasnoyarsk State University)
  • Shlapunov A. (Krasnoyarsk State University)

Вхождение в базы данных