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Items for "existence"

Recovering memory kernels in parabolic transmission problems

In this paper we recover two unknown kernels related to a thermal body Ω with memory consisting of two different sub-bodies Ω1 and Ω2, when the boundaries of Ω1 and Ω2 have a common (closed) surface &Ggr; intersecting the boundary ∂Ω of Ω...

Keywords: Parabolic integrodifferential transmission problems, unknown memory kernels, Identification problems, existence, uniqueness and continuous dependence results

01/2008 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter
Inverse problem with unknown composite external action for hyperbolic equations

In the present paper, the inverse problem with unknown composite right-hand side for second-order linear hyperbolic equations is examined...

Keywords: Hyperbolic equation, unknown external action, inverse problem, regular solution, existence, uniqueness, stability

01/2008 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter
Inverse problem for parabolic high-order equations

The solvability of the coefficient inverse problem for parabolic high-order equation is considered...

Keywords: Parabolic high-order equations, inverse problem, final overdetermination, regular solutions, existence, uniqueness

01/2008 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter