Determining Lorentzian manifold from non-linear wave observation at a single point
Nursultanov M. Oksanen L. Tzou L.
5 November 2025Academic Press Inc.
Journal of Differential Equations
2025#444
We consider an inverse problem for a non-linear hyperbolic equation. We show that the 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.
Geodesics , Inverse problems , Lorentzian geometry , Non-linear wave interaction , Wave front propagation
Text of the article Перейти на текст статьи
Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
School of Mathematics and Statistics, The University of Melbourne, Australia
Department of Mathematics and Statistics
Institute of Mathematics and Mathematical Modeling
School of Mathematics and Statistics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026