An inverse problem for pseudoparabolic equation of filtration: the existence, uniqueness and regularity

Описание

Тип публикации: статья из журнала

Год издания: 2011

Идентификатор DOI: 10.1080/00036811.2010.530258

Ключевые слова: filtration, inverse problems for PDE, pseudoparabolic equation, regularity of solutions, local existence and uniqueness theorems

Аннотация: In this article, we study the inverse problem on the identification of the leading coefficient of the multi-dimensional pseudoparabolic equation. The existence and the uniqueness of its strong solution are proved. The regularity of the solution is also investigated. These results cover the identification of the coefficient of piezoПоказать полностью-conductivity for the multi-dimensional model equation of filtration.

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Издание

Журнал: APPLICABLE ANALYSIS

Выпуск журнала: Vol. 90, Is. 10

Номера страниц: 1557-1571

ISSN журнала: 00036811

Место издания: ABINGDON

Издатель: TAYLOR & FRANCIS LTD

Персоны

  • Lyubanova A.Sh. (Siberian Fed Univ, Dept Informat Syst & Technol Met, Krasnoyarsk 660025, Russia)
  • Tani A. (Keio Univ, Dept Math, Yokohama, Kanagawa 2238522, Japan)