Email this article On the continuous extension of a generalized solution of the Hamilton–Jacobi equation by characteristics that form a central field of extremals
- Authors: Subbotina N.N.1,2, Shagalova L.G.1
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 293, No Suppl 1 (2016)
- Pages: 183-198
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173598
- DOI: https://doi.org/10.1134/S0081543816050175
- ID: 173598
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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.
About the authors
N. N. Subbotina
Krasovskii Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: subb@uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; pr. Lenina 51, Yekaterinburg, 620000
L. G. Shagalova
Krasovskii Institute of Mathematics and Mechanics
Email: subb@uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990
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