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On a solution of the Hamilton-Jacobi equation arising in molecular biology

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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.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

    L. G. Shagalova

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  1. L. G. Shagalova
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Original Russian Text © L.G. Shagalova, 2013, published in Avtomatika i Telemekhanika, 2013, No. 8, pp. 160–172.

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Shagalova, L.G. On a solution of the Hamilton-Jacobi equation arising in molecular biology. Autom Remote Control 74, 1366–1377 (2013). https://doi.org/10.1134/S0005117913080134

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  • DOI: https://doi.org/10.1134/S0005117913080134

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