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Teoriya Veroyatnostei i ee Primeneniya, 1969, Volume 14, Issue 1, Pages 148–151 (Mi tvp1128)  
Short Communications

Partial differential equations with random characteristics

R. V. Polovin, V. V. Rozhkov

Institute of Physics and Technology of Ukraine Academy of Sciences, Kharkov
Full-text PDF (267 kB)
Abstract: A linear partial differential equation with random characteristics is investigated in the case when the corresponding deterministic problem has no solution. Similar problems a rise in the kinetic theory of collisionless shock waves. It is shown that for the problem to be correct some additional variables must be introduced. In so doing the problem is reduced to that for a parabolic kinetic equation.
Received: 01.02.1967
English version:
Theory of Probability and its Applications, 1969, Volume 14, Issue 1, Pages 146–149
DOI: https://doi.org/10.1137/1114017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. V. Polovin, V. V. Rozhkov, “Partial differential equations with random characteristics”, Teor. Veroyatnost. i Primenen., 14:1 (1969), 148–151; Theory Probab. Appl., 14:1 (1969), 146–149
Citation in format AMSBIB
\Bibitem{PolRoz69}
\by R.~V.~Polovin, V.~V.~Rozhkov
\paper Partial differential equations with random characteristics
\jour Teor. Veroyatnost. i Primenen.
\yr 1969
\vol 14
\issue 1
\pages 148--151
\mathnet{http://mi.mathnet.ru/tvp1128}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=248922}
\zmath{https://zbmath.org/?q=an:0281.60065|0238.60039}
\transl
\jour Theory Probab. Appl.
\yr 1969
\vol 14
\issue 1
\pages 146--149
\crossref{https://doi.org/10.1137/1114017}
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