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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2007/v8r107.html
Дата изменения: Thu Apr 5 14:08:50 2007 Дата индексирования: Mon Oct 1 22:41:42 2012 Кодировка: |
"Continuous and bounded harmonic functions. Exact and
approximate methods" Morozov V.A., Mukhamadiev E.M., Nazimov A.B. |
The problem of representation of functions harmonic on an open square is considered for the case when these functions satisfy one of the following conditions: a) they have continuous extensions to the closed square and b) they are bounded in the open square. A full description of these classes of harmonic functions is obtained in terms of the properties of boundary values, double-layer potential densities, and the intrinsic properties of harmonic functions in an open square.
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Morozov V.A.
e-mail: morozov@srcc.msu.ru Mukhamadiev E.M., Nazimov A.B. e-mail: n.akbar54@mail.ru |