Lavrentyev Readings on Mathematics, Mechanics and Physics

Novosibirsk, Russia. May 27–31, 2005

Abstracts


Mathematics

ON A INVERSE PROBLEM FOR THE ELLIPTIc EQUATIONS

Khaydarov A.

Samarqand State Uneversete (Samarkand)

The systematic investigations of multi- dimensional inverse problems has been considered by M. M. Lavrent’ev, V.G. Romanov and further by their students. In work [1] problems on definition of the right hand side and coefficients of the elliptic equation are considered, where shauder’s type estimates for solutions were and by using these estimates it is proved the existence theorem for the solution of the problem for gerlder’s classes. In the present work it is investigated vector variant of the problem considered in the work [1], where the shauder’s type are established for and the existence are estimates solutions proved.

THE LITERATURE

1. A. Khaydarov A. One class of inverse problems for the elliptic equations // Siberian mathematical journal, 1990, V31, ¹ 4. 149 – 159 pages.

Note. Abstracts are published in author's edition



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