Oksanen Lab

University of Helsinki

Manner-Suomi (FI1) · Finland

ERC-funded
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Research focus

ERC Consolidator Grant · 2022

Lorentzian Calderon problem: visibility and invisibility

This project addresses questions in the mathematical theory of inverse problems, a research field at the interface between pure and applied mathematics. The techniques that will be developed lie at the intersection of partial differential equations and geometry, with affinity to control theory and general relativity. The Lorentzian Calderon problem is central to the proposal. A physical interpretation of the problem asks us to recover a moving medium given data generated by acoustic waves probing the medium, and seen from the mathematical point of view, it is the simplest formulation of an inverse boundary value problem for a linear wave equation that is expressed in a generally covariant…

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