Viscosity solutions via unbounded set-valued integration

DOI10.1016/S0362-546X(96)00069-7zbMath0916.49022OpenAlexW2038948841WikidataQ127977049 ScholiaQ127977049MaRDI QIDQ4208377

Dmitry Silin

Publication date: 14 July 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00069-7

zbMATH Keywords

set-valued integralHamilton-Jacobi equationviscosity solutionsupport functionFenchel conjugateHopf formulaquasi-affine multifunctions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued functions (26E25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items

Generalizing Hopf and Lax-Oleĭnik formulae via conjugate integral, Generalized Hopf formulas for the nonautonomous Hamilton-Jacobi equation

Cites Work

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• Zum Minkowskischen Integralbegriff abgeschlossener Mengen
• Asymptotic behavior of some nonlinear heat equations
• Generalized solutions by Cauchy's method of characteristics
• Characterizations of the values of differential games
• Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
• Stability and convergence of alternating Pontryagin sums
• A modification of Graham's algorithm for the convexification of a positive-uniform function
• Integrals of set-valued functions
• The Riemann Problem for Nonconvex Scalar Conservation Laws and Hamilton-Jacobi Equations
• Hyperbolic systems of conservation laws II
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• The Nonconvex Multidimensional Riemann Problem for Hamilton–Jacobi Equations
• On Hopf's formulas for solutions of Hamilton-Jacobi equations
• Hopf Formula and Multitime Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• On existence and uniqueness of solutions of Hamilton-Jacobi equations
• Set-valued analysis
• On the approximation of a generalized alternating integral