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Akduman, Haddar and Kress 1, 12, 15 proposed a conformal mapping approach for solving inverse boundary value problems for the two-dimensional Laplace equation in a doubly connected domain D with interior boundary curve Γ 0 and exterior boundary curve Γ 1 . The inverse problem consists of...
The system under consideration is governed by the equation u tt = ∇ div u – rot µ rot u in Ω × (0, T ); its response operator ("input output" map) R T plays the role of the inverse data. As in the case of the proper Lamé system, such a model describes a dynamical system with two wave...
The problem of determining source term in a semilinear wave equation is considered. The source term is represented as the product ƒ( u ( x, t )) p ( x ), where ƒ( s ) is a given function, u ( x, t ) is a solution to Cauchy problem for wave equation, p ( x ) is an unknown function. To determine...
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