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.

引用

页码：262 / 275

页数：13

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