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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 2, Pages 220–235 (Mi timm1184)  
This article is cited in 5 scientific papers (total in 5 papers)

On the continuous extension of a generalized solution of the Hamilton-Jacobi equation by characteristics that form a central field of extremals

N. N. Subbotinaab, L. G. Shagalovaa

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
Full-text PDF (223 kB) Citations (5)
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Abstract: The Cauchy problem for the Hamilton-Jacobi equation with state constraints is considered. A justification for a construction of a generalized solution with given structure is provided. The construction is based on the method of characteristics and on solutions of problems related to calculus of variations.
Keywords: Hamilton-Jacobi equations, method of characteristics, viscosity solutions, minimax solutions, calculus of variations, extremals.
Received: 12.03.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 293, Issue 1, Pages 183–198
DOI: https://doi.org/10.1134/S0081543816050175
Bibliographic databases:
Document Type: Article
UDC: 517.952+517.97
Language: Russian
Citation: N. N. Subbotina, L. G. Shagalova, “On the continuous extension of a generalized solution of the Hamilton-Jacobi equation by characteristics that form a central field of extremals”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 2, 2015, 220–235; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 183–198
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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