Differential and Integral Equations

A Hamilton-Jacobi equation with measures arising in $\Gamma$-convergence of optimal control problems

Ariela Briani

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We consider a Hamilton-Jacobi equation with a measure in the Hamiltonian arising from the $\Gamma$-limit of some optimal control problems. We give a definition of viscosity solution in this case, by adapting the method of the reparametrization of Dal Maso and Rampazzo [9].

Article information

Differential Integral Equations, Volume 12, Number 6 (1999), 849-886.

First available in Project Euclid: 29 April 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 49L25: Viscosity solutions
Secondary: 35B27: Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50] 35B37 35F25: Initial value problems for nonlinear first-order equations 49L20: Dynamic programming method


Briani, Ariela. A Hamilton-Jacobi equation with measures arising in $\Gamma$-convergence of optimal control problems. Differential Integral Equations 12 (1999), no. 6, 849--886. https://projecteuclid.org/euclid.die/1367241479

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