Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws

DOI10.1016/j.na.2022.113167zbMath1504.35133arXiv2203.04731OpenAlexW4308030631MaRDI QIDQ2105528

Carlos Esteve-Yagüe, Enrique Zuazua

Publication date: 8 December 2022

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/2203.04731

zbMATH Keywords

Hamilton-Jacobi equationreachable setinverse design problem

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21)

Cites Work

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• Scalar conservation laws and Hamilton-Jacobi equations in one-space variable
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• Hopf-Lax formulas for semicontinuous data
• Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations
• The Inverse Problem for Hamilton--Jacobi Equations and Semiconcave Envelopes
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Level set methods: An overview and some recent results
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