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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 265, Pages 273–287 (Mi tm841)  
This article is cited in 6 scientific papers (total in 6 papers)

On Solutions to the Wave Equation on a Non-globally Hyperbolic Manifold

I. V. Volovicha, O. V. Groshevb, N. A. Gusevc, E. A. Kuryanovich

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b Moscow State University, Moscow, Russia
c Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, Russia
Full-text PDF (229 kB) Citations (6)
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Abstract: 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.
Received in December 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 262–275
DOI: https://doi.org/10.1134/S0081543809020242
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: I. V. Volovich, O. V. Groshev, N. A. Gusev, E. A. Kuryanovich, “On Solutions to the Wave Equation on a Non-globally Hyperbolic Manifold”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 273–287; Proc. Steklov Inst. Math., 265 (2009), 262–275
Citation in format AMSBIB
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\paper On Solutions to the Wave Equation on a~Non-globally Hyperbolic Manifold
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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