Generalized Solutions of Hamilton – Jacobi Equation to a Molecular Genetic Model

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.
Type de document :
Communication dans un congrès
Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.462-471, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_44〉
Liste complète des métadonnées

Littérature citée [15 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01626917
Contributeur : Hal Ifip <>
Soumis le : mardi 31 octobre 2017 - 14:41:28
Dernière modification le : mardi 31 octobre 2017 - 14:44:53
Document(s) archivé(s) le : jeudi 1 février 2018 - 13:27:08

Fichier

 Accès restreint
Fichier visible le : 2019-01-01

Connectez-vous pour demander l'accès au fichier

Licence


Distributed under a Creative Commons Paternité 4.0 International License

Identifiants

Citation

Nina Subbotina, Lyubov Shagalova. Generalized Solutions of Hamilton – Jacobi Equation to a Molecular Genetic Model. Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.462-471, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_44〉. 〈hal-01626917〉

Partager

Métriques

Consultations de la notice

48