Тип публикации: статья из журнала
Год издания: 2015
Ключевые слова: Boundary value problem, Existence and uniqueness theorem, Filtration, Inverse problem, Second-order elliptic equations
Аннотация: The identification of an unknown constant coefficient in the main term of the partial differential equation ?kM?(u) + g(x)u = f (x) with the Dirichlet boundary condition is investigated. Here ?(u) is a nonlinear increasing function of u, M is a linear self-adjoint elliptic operator of the second order. The coefficient k is recovereПоказать полностьюd on the base of additional integral boundary data. The existence and uniqueness of the solution to the inverse problem involving a function u and a positive real number k is proved. © Siberian Federal University. All rights reserved.
Журнал: Journal of Siberian Federal University - Mathematics and Physics
Выпуск журнала: Vol. 8, Is. 1
Номера страниц: 38-48