Задача Коши для волнового уравнения на неглобально гиперболических многообразиях

DOI10.14498/vsgtu898zbMath1449.35283OpenAlexW2319736259MaRDI QIDQ5221948

O. V. Groshev

Publication date: 3 April 2020

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu898

zbMATH Keywords

wave equationCauchy problemnon-globally hyperbolic manifolds

Mathematics Subject Classification ID

Wave equation (35L05) Space-time singularities, cosmic censorship, etc. (83C75) PDEs on manifolds (35R01)

Cites Work

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• Cauchy problem on non-globally hyperbolic space-times
• On solutions to the wave equation on a non-globally hyperbolic manifold
• Existence and uniqueness theorems for massless fields on a class of spacetimes with closed timelike curves
• Existence and uniqueness of classical solutions of the Cauchy problem on nonglobally hyperbolic manifolds
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• TIME MACHINE AT THE LHC
• Closed timelike curves produced by pairs of moving cosmic strings: Exact solutions
• The Large Scale Structure of Space-Time

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