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Stability for a formally determined Lorentzian inverse problem

Filippas, Spyridon et al.
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometry
We consider the inverse problem of recovering a potential $q$, depending on space and time, in the wave equation $(\Box_g+q)u=0$ on a Lorentzian manifold. We prove Lipschitz stability for a formally determined version of this problem under a \textit{null-cone foliation} assumption. As a consequence,
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