Resolvability of a return task for the parabolic equation of a high order with unknown factor of absorption
Автор: Nikolaev Oleg Yurievich
Журнал: Вестник Бурятского государственного университета. Философия @vestnik-bsu
Рубрика: Функциональный анализ и дифференциальные уравнения
Статья в выпуске: 9, 2012 года.
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Article is devoted to research of the parabolic equation of a high order u t +u хххх + q/(x)u — f(x,t), where together with the decision u(x,t) is looked for as well factor of q(x). At performance of the natural boundary conditions, some conditions of redefinition, conditions of accessory of entrance data a certain functional space proves the theorem of existence of the decision. At the proof the combination of methods of linearization, continuation on parameter and Shauder's theorem is used.
Parabolic equations of a high order, return problems of mathematical physics
Короткий адрес: https://sciup.org/148181251
IDR: 148181251