Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds

We consider inverse problems in space–time ( M , g ), a 4-dimensional Lorentzian manifold. For semilinear wave equations □ g u + H ( x , u ) = f , where □ g denotes the usual Laplace–Beltrami operator, we prove that the source-to-solution map L : f → u | V , where V is a neighborhood of a time-like...

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Veröffentlicht in:	Communications in mathematical physics 2018-06, Vol.360 (2), p.555-609
Hauptverfasser:	Lassas, Matti, Uhlmann, Gunther, Wang, Yiran
Format:	Artikel
Sprache:	eng
Schlagworte:	Back propagation Classical and Quantum Gravitation Complex Systems Inverse problems Manifolds (mathematics) Mathematical analysis Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical Thermal expansion Wave equations
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