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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2015, Issue 2(46), Pages 149–154 (Mi iimi315)  
Singular characteristics of the piecewise-smooth minimax solution of the equation of Hamilton–Jacobi–Bellman

A. S. Rodinab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Science, ul. S. Kovalevskoi, 16, Yekaterinburg, 620219, Russia
b Institute of Mathematics and Computer Sciences, Ural Federal University, pr. Lenina, 51, Yekaterinburg, 620083, Russia
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Abstract: In this paper we study the properties of the minimax piecewise-smooth solution of the Hamilton–Jacobi–Bellman equation. We raise the question of existence of the singular characteristic and properties of the solution related to it.
Keywords: Hamilton–Jacobi–Bellman's equation, minimax solution, singular set, piecewise-smooth solution, tangent space, Rankin–Hugoniot's condition, singular characteristic.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00168
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 06.10.2015
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49J20, 49L25
Language: Russian
Citation: A. S. Rodin, “Singular characteristics of the piecewise-smooth minimax solution of the equation of Hamilton–Jacobi–Bellman”, Izv. IMI UdGU, 2015, no. 2(46), 149–154
Citation in format AMSBIB
\Bibitem{Rod15}
\by A.~S.~Rodin
\paper Singular characteristics of the piecewise-smooth minimax solution of the equation of Hamilton--Jacobi--Bellman
\jour Izv. IMI UdGU
\yr 2015
\issue 2(46)
\pages 149--154
\mathnet{http://mi.mathnet.ru/iimi315}
\elib{https://elibrary.ru/item.asp?id=25030040}
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    		Известия Института математики и информатики Удмуртского государственного университета
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