An initial condition reconstruction in Hamilton-Jacobi equations

DOI10.1016/j.na.2020.112082zbMath1447.49056arXiv2001.00864OpenAlexW3048695637MaRDI QIDQ2201758

Arkadiusz Misztela, Slawomir Plaskacz

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00864

zbMATH Keywords

Hamilton-Jacobi equationsvalue functionBolza problemforward and backward viscosity solutionsinverse Bolza problem

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Inverse problems in optimal control (49N45) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) PDEs in connection with control and optimization (35Q93)

Related Items (4)

Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations ⋮ Reduction of lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations ⋮ The Inverse Problem for Hamilton--Jacobi Equations and Semiconcave Envelopes ⋮ Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws

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