The inverse problem for the nonlinear pseudoparabolic equation of filtration type


Тип публикации: статья из журнала

Год издания: 2017

Идентификатор DOI: 10.17516/1997-1397-2017-10-1-4-15

Ключевые слова: A priori estimate, Filtration, Inverse problem, Local existence and uniqueness theorem, Nonlinear higher-order equation, Pseudoparabolic equation

Аннотация: The paper discusses the correctness of the inverse problem on finding an unknown coefficient dependent on t in the nonlinear pseudoparabolic equation of the third order with an additional information on the boundary. The existence and uniqueness theorem is proven. The proof of the theorem is carried out by the reduction of the origПоказать полностьюinal inverse problem to the equivalent one with an operator equation for the unknown coefficient. © Siberian Federal University. All rights reserved.

Ссылки на полный текст


Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 10, Is. 1

Номера страниц: 4-15


  • Lyubanova Anna Sh. (Institute of Space and Information Technologies Siberian Federal University)

Вхождение в базы данных