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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 5, Pages 95–102 (Mi timm612)  
This article is cited in 6 scientific papers (total in 6 papers)

A generalized method of characteristics in the theory of Hamilton–Jacobi equations and conservation laws

E. A. Kolpakova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (157 kB) Citations (6)
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Abstract: In the paper two types of generalized solutions of the Cauchy problem are presented for the Hamilton–Jacobi–Bellman equation and for the scalar conservation law. The connections between the generalized solutions are obtained. A description of the structure of the the singular set is provided for the minimax/viscosity solution of the Hamilton–Jacobi equation. The representative formula is suggested for the conservation law in terms of classical characteristics.
Keywords: Hamilton–Jacobi–Bellman equation, minimax/viscosity solution, conservation law, method of characteristics.
Received: 10.12.2008
Bibliographic databases:
Document Type: Article
UDC: 517.977+519.63
Language: Russian
Citation: E. A. Kolpakova, “A generalized method of characteristics in the theory of Hamilton–Jacobi equations and conservation laws”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 95–102
Citation in format AMSBIB
\Bibitem{Kol10}
\by E.~A.~Kolpakova
\paper A generalized method of characteristics in the theory of Hamilton--Jacobi equations and conservation laws
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 5
\pages 95--102
\mathnet{http://mi.mathnet.ru/timm612}
\elib{https://elibrary.ru/item.asp?id=15265836}
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    • This publication is cited in the following 6 articles:
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