Generalized Solutions of Hamilton – Jacobi Equation to a Molecular Genetic Model - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2016

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

Nina N. Subbotina
  • Fonction : Auteur
  • PersonId : 1021964
Lyubov Shagalova
  • Fonction : Auteur
  • PersonId : 1021988

Résumé

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.
Fichier principal
Vignette du fichier
447583_1_En_44_Chapter.pdf (493.13 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01626917 , version 1 (31-10-2017)

Licence

Paternité

Identifiants

Citer

Nina N. Subbotina, Lyubov Shagalova. Generalized Solutions of Hamilton – Jacobi Equation to a Molecular Genetic Model. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.462-471, ⟨10.1007/978-3-319-55795-3_44⟩. ⟨hal-01626917⟩
65 Consultations
66 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More