Inverse spectral theory and the Minkowski problem for the surface of revolution

DOI10.4310/DPDE.2017.V14.N4.A1arXiv1605.05031MaRDI QIDQ6273584

H. Isozaki, Evgeny Korotyaev

Publication date: 17 May 2016

Abstract: We solve the inverse spectral problem for rotationally symmetric manifolds, which include the class of surfaces of revolution, by giving an analytic isomorphism from the space of spectral data onto the space of functions describing the radius of rotation. An analogue of the Minkowski problem is also solved.

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30)

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