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http://elar.urfu.ru/handle/10995/102130
Title: | Generalized solutions of Hamilton-Jacobi equation to a molecular genetic model |
Authors: | Subbotina, N. Shagalova, L. |
Issue Date: | 2016 |
Publisher: | Springer New York LLC |
Citation: | Subbotina N. Generalized solutions of Hamilton-Jacobi equation to a molecular genetic model / N. Subbotina, L. Shagalova. — DOI 10.1007/978-3-319-55795-3_44 // IFIP Advances in Information and Communication Technology. — 2016. — Vol. 494. — P. 462-471. |
Abstract: | A boundary value problem with state constraints is under consideration for a nonlinear noncoercive Hamilton-Jacobi equation. The problem arises in molecular biology for the Crow-Kimura model of genetic evolution. A new notion of continuous generalized solution to the problem is suggested. Connections with viscosity and minimax generalized solutions are discussed. In this paper the problem is studied for the case of additional requirements to structure of solutions. Constructions of the solutions with prescribed properties are provided and justified via dynamic programming and calculus of variations. Results of simulations are exposed. © IFIP International Federation for Information Processing 2016. |
Keywords: | GENERALIZED SOLUTIONS HAMILTON-JACOBI EQUATION METHOD OF CHARACTERISTICS STATE CONSTRAINTS VISCOSITY SOLUTIONS BIOLOGY BOUNDARY VALUE PROBLEMS CALCULATIONS GENETIC PROGRAMMING MECHANICS MOLECULAR BIOLOGY NONLINEAR EQUATIONS OPTIMIZATION VISCOSITY GENERALIZED SOLUTION HAMILTON - JACOBI EQUATIONS METHOD OF CHARACTERISTICS STATE CONSTRAINTS VISCOSITY SOLUTIONS DYNAMIC PROGRAMMING |
URI: | http://elar.urfu.ru/handle/10995/102130 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 85018688609 |
PURE ID: | 1813722 ac6e5a60-36fb-4215-a00c-7c8bd8aff85a |
ISSN: | 18684238 |
ISBN: | 9783319557946 |
DOI: | 10.1007/978-3-319-55795-3_44 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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