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On solutions to the wave equation on a non-globally hyperbolic manifold

  • I. V. Volovich
  • O. V. Groshev
  • N. A. Gusev
  • E. A. Kuryanovich
Article

Abstract

We consider the Cauchy problem for the wave equation on a non-globally hyperbolic manifold of special form (the Minkowski plane with a handle) containing closed time-like curves. We prove that the classical solution of the Cauchy problem exists and is unique for initial data satisfying a specific set of additional requirements.

Keywords

Wave Equation Cauchy Problem STEKLOV Institute Classical Solution Hyperbolic Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  • I. V. Volovich
    • 1
  • O. V. Groshev
    • 2
  • N. A. Gusev
    • 3
  • E. A. Kuryanovich
  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia
  2. 2.Moscow State UniversityMoscowRussia
  3. 3.Moscow Institute of Physics and TechnologyDolgoprudnyi, Moscow oblastRussia

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