Email this article Cauchy problem for the wave equation on non-global hyperbolic manifolds
- Authors: Groshev O.V1
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Affiliations:
- Steklov Mathematical Institute, Russian Academy of Sciences
- Issue: Vol 15, No 1 (2011)
- Pages: 42-46
- Section: Articles
- URL: https://bakhtiniada.ru/1991-8615/article/view/21079
- ID: 21079
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Abstract
We consider Cauchy problem for wave equation on two types of non-global hyperbolic manifolds: Minkowski plane with an attached handle and Misner space. We prove that the classical solution on a plane with a handle exists and is unique if and only if a finite set of point-wise constraints on initial values is satisfied. On the Misner space
the existence and uniqueness of a solution is equivalent to much stricter constraints for the initial data.
the existence and uniqueness of a solution is equivalent to much stricter constraints for the initial data.
About the authors
Oleg V Groshev
Steklov Mathematical Institute, Russian Academy of Sciences
Email: groshev@mi.ras.ru
аспирант, отд. математической физики; Математический институт им. В. А. Стеклова РАН; Steklov Mathematical Institute, Russian Academy of Sciences
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