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

Hiroshi Isozaki, Evgeny L. Korotyaev

Research output

1 Citation (Scopus)

Abstract

We solve the inverse spectral problem for rotationally symmetric manifolds, which include a 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.

Original languageEnglish
Pages (from-to)321-341
Number of pages21
JournalDynamics of Partial Differential Equations
Volume14
Issue number4
DOIs
Publication statusPublished - 1 Jan 2017

Scopus subject areas

  • Analysis
  • Applied Mathematics

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