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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 3, Pages 441–446
DOI: https://doi.org/10.4213/tmf6555 (Mi tmf6555) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Existence and uniqueness of classical solutions of the Cauchy problem on nonglobally hyperbolic manifolds

O. V. Groshev

Steklov Mathematical Institute, RAS, Moscow, Russia
Full-text PDF (411 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6555
Abstract: We consider the Cauchy problem for the wave equation on the Misner space, a nonglobally hyperbolic manifold with closed timelike lines. We prove that the existence and uniqueness of a classical solution are equivalent to self-consistency conditions much more rigorous than a finite collection of pointlike conditions occurring in this problem on the Minkowski plane with an attached handle.
Keywords: nonglobally hyperbolic manifold, wave equation, Cauchy problem.
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 3, Pages 1202–1207
DOI: https://doi.org/10.1007/s11232-010-0101-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Groshev, “Existence and uniqueness of classical solutions of the Cauchy problem on nonglobally hyperbolic manifolds”, TMF, 164:3 (2010), 441–446; Theoret. and Math. Phys., 164:3 (2010), 1202–1207
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6555
  • https://www.mathnet.ru/eng/tmf/v164/i3/p441
    • This publication is cited in the following 3 articles:
    1. Bishop L.G. Costa F. Ralph T.C., “Time-Traveling Billiard-Ball Clocks: a Quantum Model”, Phys. Rev. A, 103:4 (2021), 042223  crossref  mathscinet  isi
    2. Denaro P., Dotti G., “Strong Cosmic Censorship and Misner Spacetime”, Phys. Rev. D, 92:2 (2015), 024017  crossref  mathscinet  adsnasa  isi  elib  scopus
    3. O. V. Groshev, “Zadacha Koshi dlya volnovogo uravneniya na neglobalno giperbolicheskikh mnogoobraziyakh”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(22) (2011), 42–46  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:84
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