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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 3, Pages 390–397
DOI: https://doi.org/10.4213/tmf711 (Mi tmf711) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Perturbation of a singular solution to the Liouville equation

L. A. Kalyakin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (173 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf711
Abstract: We construct an asymptotic (with respect to a small parameter) solution of the Cauchy problem for the perturbed Liouville equation in the case where the unperturbed solution has singularities on timelike lines. We propose a modification of the Krylov–Bogoliubov method that, in particular, allows us to find the asymptotic corrections to the singularity lines.
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 3, Pages 307–313
DOI: https://doi.org/10.1007/BF02557326
Bibliographic databases:
Language: Russian
Citation: L. A. Kalyakin, “Perturbation of a singular solution to the Liouville equation”, TMF, 118:3 (1999), 390–397; Theoret. and Math. Phys., 118:3 (1999), 307–313
Citation in format AMSBIB
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\by L.~A.~Kalyakin
\paper Perturbation of a singular solution to the Liouville equation
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\yr 1999
\vol 118
\issue 3
\pages 390--397
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\crossref{https://doi.org/10.4213/tmf711}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1713729}
\zmath{https://zbmath.org/?q=an:0951.35082}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 3
\pages 307--313
\crossref{https://doi.org/10.1007/BF02557326}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000080492800009}
Linking options:
  • https://www.mathnet.ru/eng/tmf711
  • https://doi.org/10.4213/tmf711
  • https://www.mathnet.ru/eng/tmf/v118/i3/p390
    • This publication is cited in the following 2 articles:
    1. L. A. Kalyakin, “Perturbation of Solutions with Moving Singularities”, Theoret. and Math. Phys., 127:3 (2001), 751–759  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. Kalyakin, LA, “Liouville equation under perturbation”, Inverse Problems, 17:4 (2001), 879  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    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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    Full-text PDF :197
    References:61
    First page:1
     
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