An initial condition reconstruction in Hamilton–Jacobi equations. (November 2020)

• Record Type: Journal Article
• Authors: Misztela, Arkadiusz; Plaskacz, Sławomir
• Is Part Of: Nonlinear analysis. Volume 200(2020)
• Publication Date: 2020-11
• Subjects: 49N45 -- 35F21 -- 49L25 -- 35Q93 -- 34A60; Hamilton–Jacobi equations -- Forward and backward viscosity solutions -- Value function -- Bolza problem -- Inverse Bolza problem; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.112082
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We describe the family of initial conditions for Hamilton–Jacobi equations (HJE) corresponding to optimal control problems that can be retrieved by solving HJE backward in time.