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General Relativity and Quantum Cosmology

arXiv:0711.0042 (gr-qc)
[Submitted on 31 Oct 2007 (v1), last revised 26 Jul 2008 (this version, v2)]

Title:Uniqueness results for ill posed characteristic problems in curved space-times

Authors:Alexandru D. Ionescu, Sergiu Klainerman
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Abstract: We prove two uniqueness theorems for solutions of linear and nonlinear wave equations; the first theorem is in the Minkowski space while the second is in the domain of outer communication of a Kerr black hole. Both theorems concern ill posed Cauchy problems on smooth, bifurcate, characteristic hypersurfaces. In the case of the Kerr space-time this hypersurface is the event horizon of the black hole.
Comments: Various corrections
Subjects: General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP)
Cite as: arXiv:0711.0042 [gr-qc]
  (or arXiv:0711.0042v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.0042
Journal reference: Commun.Math.Phys.285:873-900,2009
Related DOI: https://doi.org/10.1007/s00220-008-0650-y

Submission history

From: Alexandru Ionescu [view email]
[v1] Wed, 31 Oct 2007 23:57:48 UTC (20 KB)
[v2] Sat, 26 Jul 2008 21:24:11 UTC (23 KB)
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