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An Inverse Problem for a Quasilinear Elliptic Equation

Journal of Mathematical Sciences, 2023
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Lyubanova, A. Sh., Velisevich, A. V.
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Uniqueness for an Elliptic Inverse Problem

SIAM Journal on Applied Mathematics, 1999
The author deals with an extended theory for identification problems in the context of underground aquifer systems. As the basis of such an extension the elliptic equation \[ -\nabla \cdot\bigl(p(x) \nabla v_\lambda\bigr) +\lambda q(x)v_\lambda= f(x),\quad x\in\Omega \subset\mathbb{R}^n \tag{1} \] on a \(C^2\) domain \(\Omega\) with Dirichlet data is ...
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Computational issues arising in multidimensional elliptic inverse problems: the inverse problem of electrocardiography

Engineering Computations, 1995
We compare a recently proposed generalized eigensystem approach and a new modified generalized eigensystem approach to more widely used truncated singular value decomposition and zero‐order Tikhonov regularization for solving multidimensional elliptic inverse problems.
Olson, Lorraine G., Throne, Robert D.
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