Oleinik-Lax formulas and multitime Hamilton-Jacobi systems

DOI10.1016/S0362-546X(01)00871-9zbMath1019.49028OpenAlexW2091367475MaRDI QIDQ1849012

Marc Quincampoix, Slawomir Plaskacz

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00871-9

zbMATH Keywords

Hamilton-Jacobi equationreachable setrepresentation formulasmultitime Hamilton-Jacobi equations

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Integral representations of solutions to PDEs (35C15) Nonlinear first-order PDEs (35F20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (5)

Analysis of solutions of a noncanonical Hamilton-Jacobi equation using the generalized characteristics method and the Hopf-Lax representations ⋮ Multi-time systems of conservation laws ⋮ On Decomposition Models in Imaging Sciences and Multi-time Hamilton--Jacobi Partial Differential Equations ⋮ Multitime dynamic programming for curvilinear integral actions ⋮ Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures

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• Hopf-Lax formulas for semicontinuous data

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