Uniqueness results for Ill-posed characteristic problems in curved space-times

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


We prove two uniqueness theorems concerning linear wave equations; the first theorem is in Minkowski space-times, while the second is in the domain of outer communication of a Kerr black hole. Both theorems concern ill-posed Cauchy problems on bifurcate, characteristic hypersurfaces. In the case of the Kerr space-time, the hypersurface is precisely the event horizon of the black hole. The uniqueness theorem in this case, based on two Carleman estimates, is intimately connected to our strategy to prove uniqueness of the Kerr black holes among smooth, stationary solutions of the Einstein-vacuum equations, as formulated in [14].

Original languageEnglish (US)
Pages (from-to)873-900
Number of pages28
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Feb 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Uniqueness results for Ill-posed characteristic problems in curved space-times'. Together they form a unique fingerprint.

Cite this