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Ural Mathematical Journal, 2015, Volume 1, Issue 1, Pages 55–60
DOI: https://doi.org/10.15826/umj.2015.1.005 (Mi umj5) 		 
On connections between generalized solutions of PDE's of the first order

Ekaterina A. Kolpakova

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
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DOI: https://doi.org/10.15826/umj.2015.1.005
Abstract: He paper is devoted to the connection between generalized solutions of the Cauchy problem for Hamilton-Jacobi-Bellman equation and the corresponding first order quasilinear PDE in the of case ra-dimentional state space.
Keywords: Hamilton-Jacobi-Bellman equation, Quasilinear equation, Viscosity solution.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00168
Russian Academy of Sciences - Federal Agency for Scientific Organizations
The work is supported by grants RFBR no. 14-01-00168, program of Presidium of RAS “Mathematical problems of modern control theory”.
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Document Type: Article
Language: English
Citation: Ekaterina A. Kolpakova, “On connections between generalized solutions of PDE's of the first order”, Ural Math. J., 1:1 (2015), 55–60
Citation in format AMSBIB
\Bibitem{Kol15}
\by Ekaterina~A.~Kolpakova
\paper On connections between generalized solutions of PDE's of the first order
\jour Ural Math. J.
\yr 2015
\vol 1
\issue 1
\pages 55--60
\mathnet{http://mi.mathnet.ru/umj5}
\crossref{https://doi.org/10.15826/umj.2015.1.005}
\zmath{https://zbmath.org/?q=an:1413.35136}
\elib{https://elibrary.ru/item.asp?id=25613595}
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