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Avtomatika i Telemekhanika, 2013, Issue 8, Pages 160–172 (Mi at6093)  
Topical issue

On the Solution of the Hamilton–Jacobi Equation Emerging in Molecular Biology

L. G. Shagalova

Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
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Abstract: We consider the Cauchy problem for the Hamilton–Jacobi equation with phase constraints that arises in molecular biology. We introduce a continuous generalized solution and propose a method of constructing in with the cost function for the auxiliary optimal control problem.

Received: 15.01.2013
English version:
Automation and Remote Control, 2013, Volume 74, Issue 8, Pages 1366–1377
DOI: https://doi.org/10.1134/S0005117913080134
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. G. Shagalova, “On the Solution of the Hamilton–Jacobi Equation Emerging in Molecular Biology”, Avtomat. i Telemekh., 2013, no. 8, 160–172; Autom. Remote Control, 74:8 (2013), 1366–1377
Citation in format AMSBIB
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