175 research outputs found
An Inverse Problem on Determining Second Order Symmetric Tensor for Perturbed Biharmonic Operator
This article offers a study of the Calder\'on type inverse problem of
determining up to second order coefficients of the higher order elliptic
operator. Here we show that it is possible to determine an anisotropic second
order perturbation given by a symmetric matrix, along with a first order
perturbation given by a vector field and a zero-th order potential function
inside a bounded domain by measuring the Dirichlet to Neumann map of the
perturbed biharmonic operator on the boundary of that domain
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