Year: 2026
Type: preprint
Abstract: 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, we obtain uniqueness for the Lorentzian Calderón problem in a fixed conformal class. Our approach uses distorted spherical waves.
Source: arXiv (Cornell University)
Authors: Filippas, Spyridon, Oksanen, Lauri
Institution: University of Helsinki
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221043712