The problem addressed is the simultaneous reconstruction of the Riemannian manifold with boundary, M, and of the linear, second-order elliptic operator A from knowledge of the gauge-equivalent boundary spectral data (GE-BSD). These lecture notes are a concise account of many fundamental results concerning the reconstruction of a Riemannian manifold from GE-BSD. For details and further developments the interested reader shall refer to the book [A. P. Kachalov, Y. V. Kurylev and M. Lassas, Inverse boundary spectral problems, Chapman & Hall/CRC, Boca Raton, FL, 2001; MR1889089 (2003e:58045)].
Crosta, G. (2005). Mathematical Review: MR2053419 (2005m:58064) Katchalov, Alexander(RS-AOS2); Lassas, Matti(FIN-HELS) Gaussian beams and inverse boundary spectral problems. MATHEMATICAL REVIEWS.
Mathematical Review: MR2053419 (2005m:58064) Katchalov, Alexander(RS-AOS2); Lassas, Matti(FIN-HELS) Gaussian beams and inverse boundary spectral problems.
CROSTA, GIOVANNI FRANCO FILIPPO
2005
Abstract
The problem addressed is the simultaneous reconstruction of the Riemannian manifold with boundary, M, and of the linear, second-order elliptic operator A from knowledge of the gauge-equivalent boundary spectral data (GE-BSD). These lecture notes are a concise account of many fundamental results concerning the reconstruction of a Riemannian manifold from GE-BSD. For details and further developments the interested reader shall refer to the book [A. P. Kachalov, Y. V. Kurylev and M. Lassas, Inverse boundary spectral problems, Chapman & Hall/CRC, Boca Raton, FL, 2001; MR1889089 (2003e:58045)].
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
