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

被引：0
作者：
I. V. Volovich
O. V. Groshev
N. A. Gusev
E. A. Kuryanovich
机构：
[1] Russian Academy of Sciences,Steklov Mathematical Institute
[2] Moscow State University,undefined
[3] Moscow Institute of Physics and Technology,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2009年 / 265卷
关键词：
Wave Equation; Cauchy Problem; STEKLOV Institute; Classical Solution; Hyperbolic Manifold;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：262 / 275
页数：13
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