Determining Lorentzian manifold from non-linear wave observation at a single point

We consider an inverse problem for a non-linear hyperbolic equation. We show that conformal structure of a Lorentzian manifold can be determined by the source-to-solution map evaluated along a single timelike curve. We use the microlocal analysis of non-linear wave interaction.

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2023-10
Hauptverfasser:	Nursultanov, Medet, Oksanen, Lauri, Tzou, Leo
Format:	Artikel
Sprache:	eng
Schlagworte:	Inverse problems Manifolds (mathematics) Wave interaction
Online-Zugang:	Volltext
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