We study a source identification problem for a prototypical elliptic PDE from Dirichlet
boundary data. This problem is ill-posed, and the involved forward operator has a significant …

This work is devoted to an inverse problem of identifying a source term depending on both
spatial and time variables in a parabolic equation from single Cauchy data on a part of the …

This work is devoted to the nonlinear inverse problem of identifying the reaction coefficient in
an elliptic boundary value problem from single Cauchy data on a part of the boundary. We …

This investigation is motivated by PDE-constrained optimization problems arising in
connection with electrocardiograms (ECGs) and electroencephalography (EEG). Standard …

We study whether a modified version of Tikhonov regularization can be used to identify
several local sources from Dirichlet boundary data for a prototypical elliptic PDE. This paper …

We explore the possibility for using boundary data to identify sources in elliptic PDEs. Even
though the associated forward operator has a large null space, it turns out that box …