Cauchy problem for the wave equation on non-globally hyperbolic manifolds

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...

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Bibliographic Details
Main Author: O. V. Groshev
Format: Article
Language:English
Published: Samara State Technical University 2011-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu898