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Compressed sensing photoacoustic tomography reduces to compressed sensing for undersampled Fourier measurements
Giovanni S. Alberti, Paolo Campodonico, Matteo Santacesaria
Photoacoustic tomography (PAT) is an emerging imaging modality that aims at measuring the high-contrast optical properties of tissues by means of high-resolution ultrasonic measure…
Calderón's Inverse Problem with a Finite Number of Measurements II: Independent Data
Giovanni S. Alberti, Matteo Santacesaria
We prove a local Lipschitz stability estimate for Gel'fand-Calderón's inverse problem for the Schrödinger equation. The main novelty is that only a finite number of boundary input…
On an inverse Robin spectral problem
Matteo Santacesaria, Toshiaki Yachimura
We consider the problem of the recovery of a Robin coefficient on a part of the boundary of a bounded domain from the principal eigenvalue and the boundar…
Calderón's Inverse Problem with a Finite Number of Measurements
Giovanni S. Alberti, Matteo Santacesaria
We prove that an potential in the Schrödinger equation in three and higher dimensions can be uniquely determined from a finite number of boundary measurements, provided…
Note on Calderón's inverse problem for measurable conductivities
Matteo Santacesaria
The unique determination of a measurable conductivity from the Dirichlet-to-Neumann map of the equation is the subject of this note. A new strategy,…
Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Roman Novikov, Matteo Santacesaria
We study the multi-channel Gel'fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation , , where is a…